Sequence And Series Question 605
Question: The third term of a G.P. is the square of first term. If the second term is 8, then the $ 6^{th} $ term is
[MP PET 1997]
Options:
A) 120
B) 124
C) 128
D) 132
Show Answer
Answer:
Correct Answer: C
Solution:
$ a^{2}=ar^{2} $
$ \Rightarrow $ $ a=r^{2} $ . Also $ ar=8 $
$ \Rightarrow $ $ r=2 $ and $ a=4 $ .
$ \therefore $ $ T_6=ar^{5}=4\times 2^{5}=128 $ .
BETA
