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The sum of an infinite number of terms of a G.P. is 20, and the sum of their squares is 100, then the first term of the G.P. is
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a
5
b
8/5
c
3/5
d
8
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Correct option is D
a1−r=20 and a21−r2=100.⇒400(1−r)21−r2=100⇒1−r1+r=14⇒4−4r=1+r⇒r=3/5Thus, a2/5=20⇒a=8Similar Questions
Sum of an infinite G.P. is 2 and sum of their cubes is 24, then 5th term of the G.P. is
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