Find the sum S(x) of the series by finding .

I multiplies the series by (1-x) and got

And the sum of this would be

Then what would S(x) be? ?

The answer is supposed to be

Thanks

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- December 22nd 2009, 12:59 AMarzeSeries
Find the sum S(x) of the series by finding .

I multiplies the series by (1-x) and got

And the sum of this would be

Then what would S(x) be? ?

The answer is supposed to be

Thanks - December 22nd 2009, 03:40 AMmr fantastic
- December 22nd 2009, 04:52 PMarze
So i find the sum of the series ?

- December 23rd 2009, 01:11 AMmr fantastic
- December 23rd 2009, 07:27 AMSoroban
Hello, arze!

Quote:

Find the sum: . .by finding

The answer is: .

. .

.[1]

. . The geometric series has sum: .

So [1] becomes: . .

Hence: .

Therefore: .