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Question about mathematical series

M

mAdMaLuDaWg

Platinum Member
I'm trying to solve a recurrence problem using iteration (algorithm stuff)... well anyway, I've reached a point where I have the following series:
1+1/4+1/16+1/64+....+1/4^n

I'm wondering whether there is anyway to simplify it.

For example, I know that 1+x+x^2+...+x^(n-1)=x^(n-1)/x-1

TIA
 
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