- published: 09 Jan 2014
- views: 5885375
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.
Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.
The founder of the organization, Salman Khan, was born in New Orleans, Louisiana, United States to immigrant parents from Bangladesh and India. After earning three degrees from the Massachusetts Institute of Technology (a BS in mathematics, a BS in electrical engineering and computer science, and an MEng in electrical engineering and computer science), he pursued an MBA from Harvard Business School.
In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.
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.
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 ...
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
Explains how to find the sum of numbers
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...
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...
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).
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 ...
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.
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.
-~-~~-~~~-~~-~- Please watch: "FUNCTIONS IN C" https://www.youtube.com/watch?v=nYbikdolKg4 -~-~~-~~~-~~-~-
The video describes how to sum up first n odd numbers in an easy way.
Will the sum of a rational and an irrational number be a rational number? Or will it be an irrational number? Or could it be either? To know more about Rational, Irrational and Real Numbers, please visit https://DontMemorise.com . Don’t Memorise brings learning to life through its captivating FREE educational videos. New videos every week. To stay updated, subscribe to our YouTube channel : http://bit.ly/DontMemoriseYouTube Register on our website to gain access to all videos and quizzes: http://bit.ly/DontMemoriseRegister Subscribe to our Newsletter: http://bit.ly/DontMemoriseNewsLetter Join us on Facebook: http://bit.ly/DontMemoriseFacebook Follow us : http://bit.ly/DontMemoriseBlog
How to find the sum of first n natural numbers,sum of first n odd numbers,sum of first n even numbers
----------------------------------------------------------------------------------------------------- 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. ------------------...
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/
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...
Art of Problem Solving's Richard Rusczyk adds the numbers from 1 to 100... the fast way. Visit www.artofproblemsolving.com to learn more.
Download full Source Code - http://sh.st/Z2svm how to find sum of n number find sum of n number in python using while loop
Sum of all n digit numbers formed by n non zero digits no repetition allowed
Learn that the sum or the product of two rational numbers is always a rational number. Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-rational-times-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/recognizing-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as...
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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...
----------------------------------------------------------------------------------------------------- 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
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...
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function. You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg (quite large) You c...
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...
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
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Annie and Jose have fun with Addition and Subtraction in their new garden. Addition and subtraction are the most basic things of Mathematics. In this basic math video you will learn all the basics of addition and subtraction. Recommended for Grades: K. KidsEduc SUBSCRIBE TO US http://goo.gl/3zf4Z3 To see the more kids movies go to http://www.youtube.com/user/KidsEduc
This trigonometry video tutorial explains how to use the sum and difference identities / formulas to evaluate sine, cosine, and tangent functions that have angles that are not commonly found in the unit circle. Examples include angles both in degrees and radians.
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.
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
sum of n natural numbers.natural numbers are nothing but counting numbers.
C and C++ Use a loop to compute the sum of odd, even and all numbers entered from the keyboard. Also compute the minimum and maximum values.