Q. Fifth term of an GP is 2, then the product of its 9 term is
A) 256
B) 512
C) 1024
D) None of these
Explanation
(b)
Since, $ar^{4} = 2$
$\therefore\ a \times ar \times ar^{2} \times ar^{3} \times ar^{4} \times ar^{5} \times ar^{6} \times ar^{7} \times ar^{8}$
$= a^{9}r^{36} = \left( ar^{4} \right)^{9} = 2^{9} = 512$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.