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- Feb 14th 2010, 07:13 AM #1

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- Feb 14th 2010, 07:24 AM #2

- Feb 14th 2010, 07:58 AM #3

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Hello, r-soy!

3) If and first term is ,

find the sum of the first 10 terms of the GP.

We have: .

Therefore: .

4) Use mathematical induction to prove that: .

Assume

Add to both sides: .

And we have: .

We have proved . . . The proof is complete.

5) Expand: .

. . .

. . . .

. . .

- Feb 14th 2010, 08:12 AM #4

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For (1) you have used r= 10 in the denominator when r= -1.

(And, by the way, if it were 10, 1- 10= -9, not -11!)

For (2) you are fine until you get to and there you stop. Don't forget what you are trying to prove. You want to prove that sum is n(n+1) which, for n= k+1, is (k+1)(k+2). Factor !

For (3), has mysteriously become !