Hi, here is a problem involving summing a series involving a complex equation. Sum this series: where for I'm not exactly sure how to start this question. Please help, BG
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Originally Posted by BG5965 Hi, here is a problem involving summing a series involving a complex equation. Sum this series: where for I'm not exactly sure how to start this question. Please help, BG Notice that if you multiply top and bottom by then so the sum becomes telescopic.
Last edited by Jester; July 28th 2009 at 03:21 PM. Reason: typo
Sorry, but what does telescopic mean, in terms of maths?
Originally Posted by BG5965 Sorry, but what does telescopic mean, in terms of maths? If you write out the terms you'll see that most of the terms cancel. Only the first and last survive. This is what we mean as a telescopic series.
Originally Posted by Danny Notice that if you multiply top and bottom by then so the sum becomes telescopic. Did you mean: in the first part? And if so, the next part makes sense... but how did you get from to ... EDIT: Ah, nm, got it.
Originally Posted by rowe Did you mean: in the first part? And if so, the next part makes sense... but how did you get from to ... EDIT: Ah, nm, got it. I did - thanks for pointing out the typo.
Interestingly, what happens when this becomes an infinite series? That is, I'm guessing it gets closer and closer to 1 since , so a = 1.
So does that mean the answer is: I'm a little confused...
Originally Posted by rowe Interestingly, what happens when this becomes an infinite series? That is, I'm guessing it gets closer and closer to 1 since , so a = 1. Yes, since @BG:
So its: ? Also, how did you get from: to using ? Thanks, BG
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