Can You Solve A Cambridge Exam Question? Math Problem, 1802

What is the sum of the series 1/(1×2) + 1/(2×3) + 1/(3×4) + ... ? This problem was part of the Cambridge Exam in 1802. Can you figure it out? Watch the video for a solution. Thanks to all patrons! Special thanks to: Marlon Forbes Shrihari Puranik Kyle If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions My blog post for this video: https://wp.me/p6aMk-5iv Sources and resources Cambridge problems. This problem is on page 22 of the document: https://archive.org/details/cambridgeproblem00cambuoft Check out Mathologer's video on Euler's series! It uses the series in this video to show the reciprocal sum of squares is bounded and therefore converges. https://youtu.be/yPl64xi_ZZA?t=4m23s https://math.stackexchange.com/questions/1027110/infinite-series-sum-1-nn1 https://en.wikipedia.org/wiki/Pronic_number https://en.wikipedia.org/wiki/Telescoping_series 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: https://mindyourdecisions.com/blog/ Twitter: https://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: https://preshtalwalkar.tumblr.com/ Instagram: https://instagram.com/preshtalwalkar/ Patreon: https://www.patreon.com/mindyourdecisions Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r If you buy from the links below I may receive a commission for sales. This has no effect on the price for you. My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 31 reviews) http://amzn.to/1uQvA20 "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 2 reviews) http://amzn.to/1o3FaAg "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 4.4/5 stars on 13 reviews. http://amzn.to/1GhUUSH "Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) http://amzn.to/1NKbyCs "Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 4 reviews) http://amzn.to/1NKbGlp "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews) http://amzn.to/1LOCI4U "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 4 reviews) http://amzn.to/18maAdo "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 3 reviews) http://amzn.to/XRm7M4