• ### Sum of first n natural numbers - Derivation of a formula

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

published: 21 Nov 2013
• ### ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12

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 ...

published: 09 Jan 2014
• ### Finding the Sum of numbers

Explains how to find the sum of numbers

published: 09 Mar 2010
• ### Sum of Fibonacci Numbers Trick

A little trick to sum Fibonacci numbers. Try it out.

published: 18 Sep 2016
• ### How to Find the Sum of odd Numbers - Using Sum of N terms Formula of Arithmetic Series

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 ...

published: 25 Jan 2011
• ### Sum of Natural Numbers (second proof and extra footage)

published: 11 Jan 2015

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... published: 03 Apr 2015 • ### The sum of all counting numbers equals WHAT? 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. published: 17 Jul 2014 • ### 1+3+5+7+ ... = ? (sum of all odd numbers) can you add.... 1+3+5+7+...=? If 1+2+3+4+5+...=-1/12, then 1+3+5+7+9+...=?? If the sum of all natural numbers is -1/12, then what is the sum of all the odd numbers? ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12, by Numberphile, https://www.youtube.com/watch?v=w-I6XTVZXww bprp facebook group: https://www.facebook.com/groups/blackpenredpen/ don't forget to subscribe, blackpenredpen published: 27 Jun 2016 • ### Sum of all natural numbers -1/8 Sum of all natural numbers appears to be -1/8 here which contradicts following Numberfile videos: http://www.youtube.com/watch?v=w-I6XTVZXww http://www.youtube.com/watch?v=E-d9mgo8FGk http://www.youtube.com/watch?v=0Oazb7IWzbA published: 18 Dec 2015 • ### How to Find the Sum of All Integers Between Two Points published: 02 Mar 2015 • ### Sum of Rational and Irrational Numbers 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 published: 19 Dec 2014 • ### 4.1. Sum of Numbers - Java ----------------------------------------------------------------------------------------------------- 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. ------------------... published: 01 Oct 2016 • ### Finding the sum of n squares part 1 More free lessons at: http://www.khanacademy.org/video?v=i7iKLZQ-vCk published: 26 Nov 2013 • ### Art of Problem Solving: Sum the Numbers from 1 to 100 Art of Problem Solving's Richard Rusczyk adds the numbers from 1 to 100... the fast way. Visit www.artofproblemsolving.com to learn more. published: 22 Dec 2011 • ### sum of consecutive numbers problem using equation Learn to write equation for sum of consecutive numbers. The sum of three consecutive numbers is 225. find the numbers. To learn more such math lessons visit our channel youtube.com/MathsSmart or subscribe to http://www.youtube.com/MathsSmart. published: 01 Sep 2013 ## Sum of first n natural numbers - Derivation of a formula • Order: • Duration: 8:11 • Updated: 21 Nov 2013 • views: 42727 videos 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 https://wn.com/Sum_Of_First_N_Natural_Numbers_Derivation_Of_A_Formula ## ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12 • Order: • Duration: 7:50 • Updated: 09 Jan 2014 • views: 5437086 videos 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 Application of Infinite Sequences and Series", is very good if you can get your hands on it. 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://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile https://wn.com/Astounding_1_2_3_4_5_..._1_12 ## Finding the Sum of numbers • Order: • Duration: 3:22 • Updated: 09 Mar 2010 • views: 4462 videos Explains how to find the sum of numbers https://wn.com/Finding_The_Sum_Of_Numbers ## Sum of Fibonacci Numbers Trick • Order: • Duration: 6:08 • Updated: 18 Sep 2016 • views: 195662 videos A little trick to sum Fibonacci numbers. Try it out. https://wn.com/Sum_Of_Fibonacci_Numbers_Trick ## How to Find the Sum of odd Numbers - Using Sum of N terms Formula of Arithmetic Series • Order: • Duration: 4:12 • Updated: 25 Jan 2011 • views: 56945 videos 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 simply using sum of n term of an arithmetic sequence we can easily calculate the sum of odd numbers. In this way we can get the sum of any odd numbers or even numbers from any where to any where. Just we should know the trick. Hope You learn how to find the sum of odd numbers using the n terms formula of arithmetic sequences. How to Find the Sum of odd Numbers - Using Sum of N terms Formula of Arithmetic Series In previous videos we learn to prove Arithmetic progression and then finding the sum. You are good in such problems too. Now friend in this video lesson we are learning to find the sum of odd numbers by the method of sequence and series specially applying the sum of arithmetic progression formula.. Well let's start how to find sum of odd numbers. I hope you always sit with pen and notebook. Great ! How you are feeling now! It was quite easy right just few steps to find the sum of odd numbers between any two numbers. Steps to find Sum of Odd Numbers 1. First write the first term and last term of odd number. The form it as a AP. 2. Apply the nth term formula of arithmetic progression on the last term. 3. By doing so (step2) we will get the value of total number of terms in that AP. 4. Now since we know first term(a), last term (l), number of terms (n), we can easily apply the sum of arithmetic progression formula to get the sum of odd numbers. Cheers! Well friend here I have listed few exercise related to sum of Arithmetic progression just like above. Please try to solve these all. It will really help you. Q1. Find the sum of all odd numbers between 100 to 200. (ans = 7500) Q2. Find the sum of all odd integers between 2 and 100 divisible by 3. (Ans = 867) https://wn.com/How_To_Find_The_Sum_Of_Odd_Numbers_Using_Sum_Of_N_Terms_Formula_Of_Arithmetic_Series ## Sum of Natural Numbers (second proof and extra footage) • Order: • Duration: 21:06 • Updated: 11 Jan 2015 • views: 1085207 videos 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://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile https://wn.com/Sum_Of_Natural_Numbers_(Second_Proof_And_Extra_Footage) ## How To Sum The Numbers 1 to 100 - If Math Was A Sport Historical Fiction • Order: • Duration: 5:24 • Updated: 03 Apr 2015 • views: 34270 videos 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/gaussfiles/gauss-snippets.html Normal distribution = Gaussian distribution http://en.wikipedia.org/wiki/Normal_distribution Euler vs Gauss is an argument http://forums.xkcd.com/viewtopic.php?f=17&t=35658 Gauss is known as the prince of mathematicians http://hsm.stackexchange.com/questions/284/how-did-gauss-become-the-the-prince-of-mathematicians If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: http://mindyourdecisions.com/blog/ Twitter: http://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts Pinterest: https://www.pinterest.com/preshtalwalkar/ Tumblr: http://preshtalwalkar.tumblr.com/ Instagram: https://instagram.com/preshtalwalkar/ Patreon: http://www.patreon.com/mindyourdecisions Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 23 reviews) https://www.amazon.com/gp/product/1500497444 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1523231467/ "Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. https://www.amazon.com/gp/product/1517421624/ "Math Puzzles Volume 2" is a sequel book with more great problems. https://www.amazon.com/gp/product/1517531624/ "Math Puzzles Volume 3" is the third in the series. https://www.amazon.com/gp/product/1517596351/ "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) https://www.amazon.com/gp/product/1517319307/ "The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 3 reviews) https://www.amazon.com/gp/product/150779651X/ "Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1500866148/
https://wn.com/How_To_Sum_The_Numbers_1_To_100_If_Math_Was_A_Sport_Historical_Fiction

## The sum of all counting numbers equals WHAT?

• Order:
• Duration: 8:52
• Updated: 17 Jul 2014
• views: 10608
videos
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.
https://wn.com/The_Sum_Of_All_Counting_Numbers_Equals_What

## 1+3+5+7+ ... = ? (sum of all odd numbers)

• Order:
• Duration: 5:28
• Updated: 27 Jun 2016
• views: 5782
videos
can you add.... 1+3+5+7+...=? If 1+2+3+4+5+...=-1/12, then 1+3+5+7+9+...=?? If the sum of all natural numbers is -1/12, then what is the sum of all the odd numbers? ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12, by Numberphile, https://www.youtube.com/watch?v=w-I6XTVZXww bprp facebook group: https://www.facebook.com/groups/blackpenredpen/ don't forget to subscribe, blackpenredpen
https://wn.com/1_3_5_7_..._(Sum_Of_All_Odd_Numbers)

## Sum of all natural numbers -1/8

• Order:
• Duration: 8:00
• Updated: 18 Dec 2015
• views: 1223
videos
https://wn.com/Sum_Of_All_Natural_Numbers_1_8

## How to Find the Sum of All Integers Between Two Points

• Order:
• Duration: 4:40
• Updated: 02 Mar 2015
• views: 2989
videos
https://wn.com/How_To_Find_The_Sum_Of_All_Integers_Between_Two_Points

## Sum of Rational and Irrational Numbers

• Order:
• Duration: 1:40
• Updated: 19 Dec 2014
• views: 1812
videos
https://wn.com/Sum_Of_Rational_And_Irrational_Numbers

## 4.1. Sum of Numbers - Java

• Order:
• Duration: 20:42
• Updated: 01 Oct 2016
• views: 3437
videos
----------------------------------------------------------------------------------------------------- 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. -------------------------------------------------------------------------------------------------------------------------------------------------------------------- Bitcoin Address - 12uPbtoTBgxKG3ppxC2NSJYmmr5qipsbds Thanks :) --------------------------------------------------------------------------------------------------------------------------------------------------------------------
https://wn.com/4.1._Sum_Of_Numbers_Java

## Finding the sum of n squares part 1

• Order:
• Duration: 6:16
• Updated: 26 Nov 2013
• views: 99575
videos
https://wn.com/Finding_The_Sum_Of_N_Squares_Part_1

## Art of Problem Solving: Sum the Numbers from 1 to 100

• Order:
• Duration: 2:49
• Updated: 22 Dec 2011
• views: 20729
videos
Art of Problem Solving's Richard Rusczyk adds the numbers from 1 to 100... the fast way. Visit www.artofproblemsolving.com to learn more.
https://wn.com/Art_Of_Problem_Solving_Sum_The_Numbers_From_1_To_100

## sum of consecutive numbers problem using equation

• Order:
• Duration: 6:33
• Updated: 01 Sep 2013
• views: 8178
videos
Learn to write equation for sum of consecutive numbers. The sum of three consecutive numbers is 225. find the numbers. To learn more such math lessons visit our channel youtube.com/MathsSmart or subscribe to http://www.youtube.com/MathsSmart.
https://wn.com/Sum_Of_Consecutive_Numbers_Problem_Using_Equation