Question

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

• A. 256
• B. 512
• C. 1024
• D. None of these

Answer 1

Answer: (B)

512

Answer 2

Let the 9 terms of a G.P. is

$\frac { a } { r ^ { 4 } } , \frac { a } { r ^ { 3 } } , \frac { a } { r ^ { 2 } } , \frac { a } { r } , a$.

Given, fifth term $a = 2$

Hence product of 9 terms is

$a ^ { 9 } = ( 2 ) ^ { 9 } = 512$.