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Question

In a G.P., T2+T5=216 and T4:T6=1:4 and all the terms are integers, then the first term is

A
14
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B
12
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C
16
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D
18
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Solution

The correct option is B 12
ar(1+r3)=216 and ar3ar5=14
r2=4r=±2
when r=2 then 2a(9)=216a=12
when r=2, then 2a(18)=216
a=21614=1087, which is not an integer.

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