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Question

The 4th,7th and 10th term of a G.P. are a, b, c respectively, then

A
a2=bc
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B
b2=ac
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C
c2=ab
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D
ab2=c
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Solution

The correct option is B b2=ac
Let A be the first term and r be the common ratio of the given G.P.
Then,
a=Ar(41)=Ar3; b=Ar(71)=Ar6 and c=Ar(101)=Ar9
ac=(Ar3)×(Ar9)=A2r12=(Ar6)2=b2
Hence, b2=ac.

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