Sequence And Series Question 603

Question: The 6th term of a G.P. is 32 and its 8th term is 128, then the common ratio of the G.P. is

[Pb. CET 1999]

Options:

A) - 1

B) 2

C) 4

D) - 4

Show Answer

Answer:

Correct Answer: B

Solution:

$ T_6=32 $ and $ T_8=128\Rightarrow ar^{5}=32 $ …..(i) and $ ar^{7}=128 $ …..(ii) Dividing (ii) by (i), $ r^{2}=4 $
Þ r = 2.