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OpenStudy (cocoacat):
Hey guys need some help with series! Consider an infinite geometric series of positive terms that converges to S. What fractional part of S is the sum of the odd-numbered terms? Give answers in terms of r, the common ratio of the series. So I know I will have to do (Sum of odd numbers)/(Normal sum formula, a/1-r) and that will cancel a and give me the answer in terms of r. I'm just confused as to how to find the sum of odd numbers. Thanks!
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OpenStudy (eazye_the_best):
First you would go with the odd numbers you can think of then go onto the internet and find a resource for all of the odd numbers there are. And there you go.
OpenStudy (mww):
Hint: find sum of a+ar^2 + ar^4 + ar^6 +...+ar^(n-1) for some odd n.
OpenStudy (cocoacat):
Figured it out! a/1-r^2, thanks @mww
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