What is the value of the following infinite sum: $$1 + \frac34 + \frac34.\frac58 + \frac34.\frac58.\frac7{12} + .......$$
I need a definitive hint, please help.
Asked
Active
Viewed 47 times
1
-
WolframAlpha says $2\sqrt{2}$: http://www.wolframalpha.com/input/?i=1+%2B+sum+from+n%3D1+to+infinity+of+%28product+from+k%3D1+to+n+of+%281%2B2k%29%2F%284k%29%29 – Gamma Function May 10 '14 at 14:15
-
Related : http://math.stackexchange.com/questions/746388/calculating-1-frac13-frac1-cdot33-cdot6-frac1-cdot3-cdot53-cdot6-cdot/746975#746975 – lab bhattacharjee May 10 '14 at 14:20
-
This is a binomial series. – Lucian May 10 '14 at 15:19