Prove that .

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- February 18th 2009, 12:24 AMthereddevilsProve this .
Prove that .

- February 18th 2009, 12:32 AMCaptainBlack
- February 18th 2009, 12:38 AMthereddevils
Thanks Captain , but how did you get that expression ? Is it by expansion ?

- February 18th 2009, 12:48 AMCaptainBlack
First I deduce what method is appropriate for high school level, which made me suspect a telescoping series, then noting that is a give away for writting the general term as , since then the only part of the last term of the series that does not cancel is , and from the first term is .

CB - February 18th 2009, 04:03 AMthereddevils
I know what a telescoping series is but i just don understand how you get this :

- February 18th 2009, 04:09 AMmr fantastic