Fifth term of a G.P. is 2, then the product of its 9 terms is

Fifth term of a G.P. is 2, then the product of its 9 terms is

A
256
B
512
C
1024
D
204

Solution:

$t_{5} = a r^{4} = 2$

We have $t_{1} t_{2} \dots t_{9} = a^{9} r^{1 + 2 + \dots + 8}$

$= a^{9} r^{36} = {(a r^{4})}^{9} = 2^{9} = 512$

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