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Question

Sum of infinite term of G.P is 20 and sum of their square is 100 then common ratio of G.P. is

A
5
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B
35
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C
85
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D
15
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Solution

The correct option is B 35
Let terms of G.P are a,ar,ar2,...

S=a1r

a=first term,

r=common ratio

S=20 [Given]

According to question a1r=20

a=20(1r) ........(i)

also a21r2=100

a1r.a1+r=100

a=5(1+r) .........(ii)

Divide (i) by (li)

a=20(1r)a=5(1+r)

we have r=35

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