Please help to solve these problems :
1. (1+2/1) x (1+2/2) x (1+2/3) x .... x (1+2/26) x (1+2/27) =
2. (1+1/4) x (1+1/9) x (1+1/16) x ... x (1+1/4028049) =
Thank you
(1+2/1) x (1+2/2) x (1+2/3) x .... x (1+2/26) x (1+2/27) =
2. (1+1/4) x (1+1/9) x (1+1/16) x ... x (1+1/4028049) =
let's denote the following product by:
thus we can come up with the following recurrence relation for the product:
so we can find iteratively.
The last two problem i've posted has been solved the first one. Thanks to Peritus and Soroban. But I should correct the secondsecond like this :
2. (1 - 1/4) (1 - 1/9) (1 - 1/16) .... (1 - 1/2007^2).
I think there is a simple solution like the first problem. Please help. Thank you