use (1/x) - (1/x+1) to find the following sum. (1/1*2) + (1/2*3) + (1/3*4) ..... + (1/99*100) show/explain how to get the answer the answer is 99/100 if that helps
Last edited by yoman360; Apr 27th 2009 at 06:56 PM.
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Originally Posted by yoman360 use (1/x) - (1/x+1) to find the following sum. (1/1*2) + (1/2*3) + (1/3*4) ..... + (1/99*100) show/explain how to get the answer the answer is 99/100 if that helps When you expand the sum, something very nice will happen... Does this make sense?
Originally Posted by Chris L T521 When you expand the sum, something very nice will happen... Does this make sense? Note that your original series is Also note that . So . Then refer to Chris' post.
Originally Posted by Chris L T521 When you expand the sum, something very nice will happen... Does this make sense? Wait How did you get 1-(1/100)?
Last edited by yoman360; Apr 28th 2009 at 04:33 PM.
Originally Posted by yoman360 Wait How did you get 1-(1/100)? etc. So everything cancels except .
Originally Posted by Prove It etc. So everything cancels except . oh thanks man. I don't know why I didn't notice
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