SOLUTION: Find the sum of 1/10+1/40+1/88+...+1/4062108.

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Question 796637: Find the sum of 1/10+1/40+1/88+...+1/4062108.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Try to identify the pattern
10 = 2x5 = (2+0x3)(2+3)
40 = 5x8 = (2+3)(2+2x3)
88 = 8x11 = (2+2x3)(2+3x3)

The n-th term of the series is given by
T%5Bn%5D=1%2F%28%282%2B3%28n-1%29%29%282%2B3n%29%29
T%5Bn%5D=1%2F%28%283n-1%29%283n%2B2%29%29

Now, I think you can proceed yourself.

Cheers!!!