FInd

My attempt :

Using this identity :

The LHS can be written as .

but it is not anywhere nearer to ,there must be some problem with my proving .

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- Feb 9th 2009, 02:10 AMmathaddictproving the summation of a finite series .
FInd

My attempt :

Using this identity :

The LHS can be written as .

but it is not anywhere nearer to ,there must be some problem with my proving . - Feb 9th 2009, 03:23 AMmr fantastic
- Feb 10th 2009, 06:44 AMmathaddict
Thanks Mr F , i try to factorise and i still can't get the proof right .

- Feb 10th 2009, 10:46 AMSoroban
Hello, mathaddict!

I'll modify your work ... and include all the steps.

Quote:

FInd: .

Using this identity: .

. . we have: .

The LHS can be written as .

We have: .

. . . . . . .

. . . . . . .

. . . . . .

Factor: . .

. . . . . . .

Therefore: .

- Feb 10th 2009, 07:08 PMmathaddict
Thanks a lot Soroban , btw

, is it an algebraic identity ? - Feb 10th 2009, 07:38 PMo_O
Yes. Use the fact that:

So: