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`        the sum of infinite number of terms of a decreasing G.P. is 4 and sum of the squares of its terms to infinity is 16/3,find the G.P`
2 years ago

Arun
23521 Points
```							Dear Ramesh a/(1-r) = 4a = 4- 4r Nowa²/(1-r²) = 16/33a² = 16 -16r²3(16 + 16r² -32r) = 16 -16r²48 + 48r² -96r = 16 -16r²64r² -96r +32 = 02r² - 3r +1 = 0(2r-1)(r-1) = 0r = 1 and ½r = 1 is neglected. Hence r = 1/2 is accepted..(decreasing G.P.)Nowa = 4 - 4*(1/2) = 4 - 2 = 2 HenceG.P. will be2, 1, 1/2, 1/4, .....  RegardsArun (askIITians forum expert)
```
2 years ago
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