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 Number Theory Number Theory Math Forum

 May 21st, 2019, 08:53 PM #1 Senior Member   Joined: May 2015 From: Arlington, VA Posts: 464 Thanks: 29 Math Focus: Number theory 1, 2, 3... sum/product summation 1/1+(1+2)/(1*2)+(1+2+3)/(1*2*3)+(1+2+3+4)/(1*2*3*4)...=? May 22nd, 2019, 03:28 AM #2 Newbie   Joined: Sep 2017 From: Belgium Posts: 19 Thanks: 7 $\frac{3}{2}e$ by using this $\sum_{k=0}^\infty{k+2\choose k}\frac{1}{(k+1)!}$ $\sum_{k=0}^\infty\frac{k+2}{2\cdot k!}$ $\sum_{k=0}^\infty\frac{k}{2\cdot k!}+\frac{1}{k!}$ and this $\sum_{k=0}^\infty\frac{x^k}{k!}=e^x$ Thanks from topsquark and Loren Tags sum or product, summation Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post JoseTorero Math Books 15 April 26th, 2019 01:56 PM srecko Linear Algebra 1 October 27th, 2016 11:25 AM eddybob123 Number Theory 3 May 13th, 2013 03:48 PM otaniyul Linear Algebra 0 October 30th, 2009 06:40 PM

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