- published: 21 Nov 2013
- views: 78850
Sum may refer to:
As an acronym, SUM may refer to:
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, and so forth. A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, the term number may refer to a symbol, a word, or a mathematical abstraction.
In mathematics, the notion of number has been extended over the centuries to include 0, negative numbers, rational numbers such as and , real numbers such as and , complex numbers, which extend the real numbers by including , and sometimes additional objects. Calculations with numbers are done with arithmetical operations, the most familiar being addition, subtraction, multiplication, division, and exponentiation. Their study or usage is called arithmetic. The same term may also refer to number theory, the study of the properties of the natural numbers.
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2.
If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence () is given by:
and in general
A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series.
The behavior of the arithmetic progression depends on the common difference d. If the common difference is:
Computation of the sum 2 + 5 + 8 + 11 + 14. When the sequence is reversed and added to itself term by term, the resulting sequence has a single repeated value in it, equal to the sum of the first and last numbers (2 + 14 = 16). Thus 16 × 5 = 80 is twice the sum.
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Track listing
The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + · · · is a divergent series. The nth partial sum of the series is the triangular number
which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.
Although the series seems at first sight not to have any meaningful value at all, it can be manipulated to yield a number of mathematically interesting results, some of which have applications in other fields such as complex analysis, quantum field theory, and string theory. Many summation methods are used in mathematics to assign numerical values even to a divergent series. In particular, the methods of zeta function regularization and Ramanujan summation assign the series a value of −1/12, which is expressed by a famous formula:
In a monograph on moonshine theory, Terry Gannon calls this equation "one of the most remarkable formulae in science".
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and ...
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think.
The video describes how to easily find out sum of first n natural numbers within seconds. More videos👇 Simplification 👉https://youtu.be/qKST4migPxo Multiplication tricks 👉https://youtu.be/-emYt7Ve0SM Addition & Substraction Tricks 👉https://youtu.be/MW_UvQ9wD0A BODMAS Rules👉https://youtu.be/0dT0UquNqWo Facebook page 👉https://www.facebook.com/SmartStudyForCareer/
In this video explained about easy way for sum of “ n” consecutive number of natural, even, odd and square of natural, even and odd and also cube of natural, even and odd. This YouTube " Siva Math Tips" channel provided videos regarding easy mathematics calculations, mathematical reasoning, reasoning for competitive exams, math magic tricks, math magic, vedic maths tricks, math for kids, fast calculations in mathematics, This channel very much helpful to all students and elders to improving the creative thinking skills, brain storming, Fast calculation and mental health. Google Plus: https://plus.google.com/+sivaalluri Twitter: https://twitter.com/Sivamaths4u Facebook: https://www.facebook.com/alluri.sivaramakrishna Linked In : https://www.linkedin.com/in/siva-rama-krishna-alluri-10373...
A little trick to sum Fibonacci numbers. Try it out.
It's the final play of the 1787 World Math Championships. The talented 10-year old Gauss faces a challenging question from his math teacher. Will the young student show up his teacher, or does he still have lessons to learn? I wanted to explain how to sum the numbers from 1 to 100 in a fun and creative way. This dramatization is based on a true story. **Thanks To My $10+/mo Patreon Supporters** Kyle Sports sound effects CC BY 3.0 (https://creativecommons.org/licenses/by/3.0/us/) Modified from SoundBible.com http://soundbible.com/1882-Football-Crowd.html (GoGo) http://soundbible.com/1834-End-Of-Game.html (Mike Koenig) http://soundbible.com/1881-Sports-Crowd.html (GoGo) Some Details About The Story Gauss sum 1 to 100 stories (the legends) http://bit-player.org/wp-content/extras/gaussfil...
Explains how to find the sum of numbers
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MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww More links & stuff in full description below ↓↓↓ Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://te...
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. Sum of Natural number tricks👉https://youtu.be/UTJgdohUegk Sum of Odd numbers tricks👉https://youtu.be/Y_QV_3JXVSI Simplification👉https://youtu.be/s4D0XjPrzVM Follow me on Facebook👉https://www.facebook.com/SmartStudyForCareer/
This is a description and tutorial about how to use the Apple iWork Numbers Sum function. To use the SUM function and all functions, just select any cell and click the equal '=' key. Then add the SUM function. So, if you wanted to get the Sum of cell A1 and B1 the function would be =SUM(A1:B1).
Microsoft Excel Tutorial 1 of 25. How to total numbers in Excel using the SUM function and autosum feature. How to add separated groups of numbers together. How to use the SUM formula in Excel.
In this video I go through Karl Gauss's ingenious proof for the formula of a sum of the first n positive and consecutive integers. Gauss derived this when he was only 10 years old!! Download the notes in my video: https://www.dropbox.com/s/u305wrxmt4r1lzl/203%20-%20Proof%20of%20Sum%20of%20n%20positive%20integers.pdf Related Videos: Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30 Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers: http://youtu.be/U22Z1q_Ibqg . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab...
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. Follow me on Facebook👉https://www.facebook.com/SmartStudyForCareer/ Google+👉 https://plus.google.com/111082316974868239587 Twitter👉https://mobile.twitter.com/ss_career
Learn to write equation for sum of consecutive numbers. The sum of three consecutive numbers is 225. find the numbers. The trick here is to write the consecutive numbers as x, x-1 and x+1, this way the resulting equation is always simpler than if we wrote the three numbers as x, x+1 and x+2. To learn more such math lessons visit our channel youtube.com/MathsSmart or subscribe to http://www.youtube.com/MathsSmart.
In this video I show the proof for determing the formula for the sum of the squares of "n" consecutive integers, i.e. 1^2 + 2^2 + 3^2 +.... + n^2. This is a pretty abstract proof and makes use of the useful "telescoping" or collapsing sum which I illustrate in the video. The formula for the sum of squares comes up very often in calculus so it's a good idea to understand the proof! Download the notes in my video: https://www.dropbox.com/s/rgv3obty1w3p9k2/204%20-%20Proof%20of%20sum%20of%20n%20squares.pdf Related Videos: Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30 Sum of "n" Consecutive Integers - Simple Proof : http://youtu.be/tpkzn2e5mtI Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ Types of Numbers: Natural, Integers, Ration...
More free lessons at: http://www.khanacademy.org/video?v=i7iKLZQ-vCk
http://ItsMyAcademy.com/arithmetic-sequences/ For Free Complete Video Tutorial on Sequence & Series. For more videos on sequence and series. To Find the sum of odd numbers we have to first make an arithmetic sequence or arithmetic series then we can easily find the sum of odd numbers from sum of n term formula of arithmetic sequence. its is simple . In this video we are dealing with such problems. Here we need to find the sum of odd numbers from 0 to50 using the sum of n term formula of arithmetic sequence. To do so we will first arrange the all odd numbers between 0 to 50 in increasing order then taking 1 as first term and 49 as last term we will make an arithmetic series. By using nth term formula of arithmetic sequence we will get the total number of terms of the sequence and then by ...
The video describes how to sum up first n odd numbers in an easy way.
In this video,. I use the While loop for finding the sum of set of integers. Let me know if you have any questions.
In this video series, Stephen Mayeux (stephenmayeux.com) walks through the algorithmic challenges at Free Code Camp. ** Sum of Numbers in a Range ** -- Using `Math.min()` and `Math.max()` to add up the numbers within a range.
Learn about that how to sum or add two or more numbers in MS Word Hi, I am Jitendra Kumar, today now we learn that how to sum or add two or more numbers in MS word. Now let’s start, when we want to adding two or more numbers in MS word then follow this steps as describe in this video. Sometime when we adding manually, may some error occurred during the calculation in MS word and takes more times to calculating lots of numbers in MS word. So, this technique make easy and simple steps to do it in a short or little time with accuracy. It gives more flexibility to do it in the short time and keep managing more files easily. Summations or additions in MS Word, this video makes easy and simple to do more calculations at a time by the more users or learners who want to do it. I requested you ...
5 Ways to Sum Only Positive or Negative Values Seperately in Excel Bangla. Normally, it is easy for us to sum a range of data in a worksheet, if you are said to sum positive and negative valuse seperately .Here, I want to sum positive or negative numbers only. Are there any effective ways for solving this problem? Supposing you have a range of numbers which contains both positive and negative values, and now, you want to sum the numbers regardless of the sign, it means to sum all the numbers as positive values. How could you deal with this problem in Excel? Here i will show you how to sum positive or negative value/numbers in excel bangla by 5 ways. Maximum time we are facing this kind of problem. but now time to solve this. Here i will share 5 Different ways to to solve this project a. ...
Here is an amazing shortcut to find three consecutive natural numbers, odd naturals or even naturals whose sum is given.....by using the trick, students will be able to solve this in just 3 seconds....too good for all students of class VIII and above and also for competitive exams.....for more videos, keep visiting: https://www.youtube.com/channel/UCXJhrvWgd1v3jb8X1SZfcOg www.sureshaggarwal.com
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1 plus 2 plus 3 plus 4 and so on upto infinity is not what you think. It is a negative numer. The proof to POWER RAISED to 0 is EQUALS to 1 at https://www.youtube.com/watch?v=d9N-63cLwG4 0.999... is exactly equals to 1 proof at https://www.youtube.com/watch?v=LR3GA-Dvxjc Divide by zero is not infinite at https://www.youtube.com/watch?v=TYm9v6bSr18 Difference between INFINITE and UNDEFINED at https://www.youtube.com/watch?v=1ZEC6hAZIPY These Video series are a tribute to Sir Ramanujan. I am sure that most of the people don't know what I have told in video. Please share and spread the knowledge. Watch the proof ! 1 से अनंत तक की संख्याओं का जोड़ है जीरो से भी छोटा ! Watch the video and try to solve on a notebook. Don't forget to subscribe the channel. लाइक और सब्सक्राइब करना न भूलें | अच...
Sum of individual digits of a given number 1) Find the individual digits of a number 2) Add all the individual digits
Sum of consecutive n odd, even, square, cube of natural numbers formula and examples. Every possible type of summation series is discussed in this video please like, subscribe and share Thanku
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SUMA DE NÚMEROS DECIMALES Para adicionar o sumar dos o más números decimales, ordenamos los sumandos de manera que la coma que separa las partes enteras de la decimal quede en una misma columna para después sumarlos normalmente como números enteros.
http://demonstrations.wolfram.com/SumOfNumbersOnInvisibleFaces The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The faces of a polyhedron are labeled 1, 2, 3, .... Find the sum of the numbers on the invisible faces. Contributed by: Izidor Hafner Audio created with WolframTones: http://tones.wolfram.com
Code in Kotlin to sum even numbers found in an array. Download source code at: https://drive.google.com/file/d/1EATDP55J25faMR7jTH2Gzk3DWuNJPyiv/ Like and share. It's FREE too :) Follow us on Facebook https://www.facebook.com/AllTech-1089946481026048/
Hello Everyone, Welcome to Tech Learnings! Today, we continue with learning data structures and try to build up our concept of Recursion by trying to understand the "Sum of N natural numbers problem". Problem Statement: We have to find out the sum of N natural nos, where N is provided by user. e.g if N=4, our program should return output as 10, N=5, output should be 15 and so on. You can stay updated with website and other social platforms as well: Website : https://shivnrn16.wixsite.com/techlearnings Facebook : https://www.facebook.com/techlearnings Twitter : https://twitter.com/LearningsTech Google+ : https://plus.google.com/116274704936116192074 If you liked the video or learned something new, please do give a thumbs up and don't forget to share, subscribe or comment! Stay subsc...
sum of 1st n natural no
This video explains Sum of Squares of Natural Numbers.This is simple and easy explanation video.
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww More links & stuff in full description below ↓↓↓ Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://te...
----------------------------------------------------------------------------------------------------- Starting out with Java: From control structures through objects Chapter 4 Programming Challenges -------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1. Sum of numbers Write a program that asks the user for a positive nonzero integer value. The program should use a loop to get the sum of all the integers from 1 up to the number entered. For example, if the user enters 50, the loop will find the sum of 1, 2, 3, 4, . . . 50. Gaddis, Tony (2015-05-29). Starting Out with Java: From Control Structures through Objects (Page 262). Pearson Education. Kindle Edition. ------------------...
This video is contributed by Sandeep Please Like, Comment and Share the Video among your friends and family members. Also, Subscribe if you haven't already! :) For any query or suggestion mail me at my email id:- sandeep2006iiitm@gmail.com Follow me on Facebook:- https://www.facebook.com/Sandeep02aug Like our Facebook page:- https://www.facebook.com/bsiacademy16 Follow us on Twitter:- https://twitter.com/bsiacademy Follow us on Google+:- https://plus.google.com/u/0/111901664357973607756
Question discussion of Career Point, Bansal/Vibrant Q 1. Sum of all the numbers greater than 10,000 formed by the digits 1,3,5,7,9 no digits being repeated. Q 2. Sum of all the numbers greater than 10,000 formed by 0,2,4,6,8 no digit being repeated. Q 3. Sum of all the distinct 4 digits number contain only the digits 1,2,3,4,5 each at most once is given by. Q 4. No of 7 digits integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is JEE-09 Q 5. No of 7 digits number if sum of their digits is 1)63 2) 62 3)61 4)60 Subscribe, like and Drop your mail id to get a gift in your inbox :) For any online study support or for any kind of study material drop a mail to gyanunplugged@gmail.com Stay tuned and Have a great life.
Confused 1+2+3+…=-1/12 comments originating from that infamous Numberphile video keep flooding the comment sections of my and other math YouTubers videos. And so I think it’s time to have another serious go at setting the record straight by having a really close look at the bizarre calculation at the center of the Numberphile video, to state clearly what is wrong with it, how to fix it, and how to reconnect it to the genuine math that the Numberphile professors had in mind originally. This is my second attempt at doing this topic justice. This video is partly in response to feedback that I got on my first video. What a lot of you were interested in were more details about the analytic continuation business and the strange Numberphile/Ramanujan calculations. Responding to these requests, ...
How a certain perspective on what the Riemann zeta function looks like can motivate what it might mean beyond its domain of convergence. One month free audible trial, I recommend "The Art of Learning": https://www.audible.com/3blue1brown Support on patreon, and get early access to future "Essence of" series: https://www.patreon.com/3blue1brown There are posters for this visualization of the zeta function at http://3b1b.co/store Music by Vince Rubinetti: https://soundcloud.com/vincerubinetti/riemann-zeta-function Check out some of Vince's other work here: http://www.vincentrubinetti.com/ For those who want to learn more about complex exponentiation, here are a few resources: - My video on the topic: http://youtu.be/mvmuCPvRoWQ - Mathologer's: https://youtu.be/-dhHrg-KbJ0 - Better Expl...
أ.محمود سعدون _ماث _الصف الثالث الابتدائي_الترم الأول__المنهج المصري _الوحدة الثالثة الدرس الأول - Finding sum of 2 numbers - نوفمبر 2017م. تابع جداول مواعيد الحلقات ع صفحتنا ع فيسبوك https://www.facebook.com/elschoola/ وده فهرس الاسكوله اللي فيه كل المواد بتاعتنا https://goo.gl/8Ex6dc
This video is contributed by Sandeep Please Like, Comment and Share the Video among your friends and family members. Also, Subscribe if you haven't already! :) For any query or suggestion mail me at my email id:- sandeep2006iiitm@gmail.com Follow me on Facebook:- https://www.facebook.com/Sandeep02aug Like our Facebook page:- https://www.facebook.com/bsiacademy16 Follow us on Twitter:- https://twitter.com/bsiacademy Follow us on Google+:- https://plus.google.com/u/0/111901664357973607756
A story of pi, prime numbers, and complex numbers, and how number theory braids them together. Check out Remix careers: https://www.remix.com/jobs The fact that only primes that are one above a multiple of four can be expressed as the sum of two squares is known as "Fermat's theorem on sums of two squares": https://goo.gl/EdhaN2 Special thanks to the following patrons: http://3b1b.co/leibniz-thanks ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various s...
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شرح بعض تطبيقات ال loops ,استخدام loop في جمع الارقام , طريقة سهلة جدا For more lessons and practicing, check the complete course at our website http://codemasry.com/pro/april13 You can practice more on this lesson by doing programming assignment http://codemasry.com/media/pro/april13/files/Assignment%204%20-%20Loops%20I_2.pdf And submit your solutions online! http://codemasry.com/pro/april13/assignments
In this video I go over the proof of the summation of n positive integers which are raised to the power of 4. The proof although straight forward is very tedious and requires a lot of algebra. Download the notes in my video: https://www.dropbox.com/s/xhoeh1l6xkbqoq1/416%20-%20Sum%20of%20n%20integers%20to%20the%20power%20of%204.pdf Related Videos: Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30 Sum of "n" Consecutive Integers - Simple Proof : http://youtu.be/tpkzn2e5mtI Sum of the squares of "n" Consecutive integers - Simple Proof: http://youtu.be/TeF09H13qyI Sum of the Cubes of "n" Consecutive integers - Simple Proof : http://youtu.be/drguFeiCMZw Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ Types of Numbers: Natural, Integers, R...
This algebra 1 and 2 video provides an overview of arithmetic sequence geometric series. It provides plenty of examples and practice problems that will help you to prepare for your next test or exam in your algebra or pre-calculus course. Here is a list of topics covered in this video: 1. General Formula Sheet For Arithmetic and Geometric Series 2. How To Write The First Four Terms of a Sequence Given The Explicit Formula 3. How To Write The Next Three Terms Given a Recursive Formula / Equation 4. How To Determine if a Sequence is Arithmetic or Geometric 5. How To Find The Common Difference of an Arithmetic Series 6. How To Find The Common Ratio of a Geometric Sequence 7. How To Write a General Formula For an Arithmetic or a Geometric Sequence That Contains Fractions 8. How To ...
I PROVIDED MY BEST TO BETTER UNDERSTANDING OF MATHEMATICS WITH A NEW WAY OF LEARNING BY TRICKS AND CONCEPTS. THIS PART COVERS SUMMATION OR ADDITION OF SERIES WHICH IS SUBPART OF NUMBER SYSTEM. THIS IS ALSO FREQUENTLY ASKED IN SSC CGL,SSC CHSL,IBPS PO,CLERK,CDS AND RAILAWAY EXAMS. SO FOR BEST PREPARATION OF MATHS FOR SSC CGL,SSC CHSL,IBPS WATCH COMPLETE LECTURES THAT COVERS VARIETY OF PROBLEMS . THANKS WITH BEST WISHES ER SAURABH SINGH (B.TECH)
Starting from addition and subtraction that you already understand, I describe how to simplify, read, and use the shorthand of math. There is a mix of explaining and practicing, moving from two numbers to 5 or 6 numbers.