Sequence And Series Question 591

Question: If the third term of a G.P. is 4 then the product of its first 5 terms is

[IIT 1982; RPET 1991]

Options:

A) $ 4^{3} $

B) $ 4^{4} $

C) $ 4^{5} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Given that $ ar^{2}=4 $ Then product of first 5 terms $ =a(ar)(ar^{2})(ar^{3})(ar^{4})=a^{5}r^{10}={{[ar^{2}]}^{5}}=4^{5} $ .