sum to infinitety??

2007-06-12 6:01 pm
(a)Find the sum ot infinity of the geometric series
1/2+(1/2)^2+(1/2)^3+....

(b)Let S be the sum to infinity of the series
1+3(1/2)+5(1/2)^2+7(1/2)^3+.....

(i)Show that S-1/2S is equal to the sum to infinity of the series
1+2(1/2)+2(1/2)^2+2(1/2)^3+.....

(ii)Hence find the value of S.

answers:(a)1 (b)(ii)6 pls.

回答 (1)

2007-06-12 6:30 pm
✔ 最佳答案
As follows:

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參考: My Maths knowledge


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