Q.Given the sum of an infinite geometric progression of real numbers is `S` ,which is a finite number.The sum of the squares of the terms is `S_1` .If the first term of the G.P. is 1,then :-
A) `S>S_1` ,if all the terms of G.P. is positive.
B) `S<S_1` ,if all the terms of G.P. is positive.
C) `S>S_1` ,if some of the terms of G.P. is negative.
D) `S<S_1` ,if some of the terms of G.P. is negative.
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Ans. A `S>S_1` if al terms of G.P. is positve
`1,r,r^2,r^3,........oo and r<1` then
another series is
`1,r^2,r^4,r^6,..........oo and r<1` which is alos in G.P. with common ratio `r^2` ,so sum is
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