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Question

If the 3rd term of a G.P is 4, then the product of its first five terms is .

A
512
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B
1024
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C
128
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Solution

The correct option is B 1024
Let the first term of the G.P. be a and its common ratio be r
Since the nth term of such a GP is given by an=arn1, we have
a3=ar2=4.
Now,
product of first five terms =a×ar×ar2×ar3×ar4
=a5r10
=(ar2)5
=45
=1024

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