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} $ .