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

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

A

– 1

B

2

C

4

D

– 4

Answer

2

Explanation

Solution

T6=32T _ { 6 } = 32 and T8=128ar5=32T _ { 8 } = 128 \Rightarrow a r ^ { 5 } = 32 .....(i)

and ar7=128a r ^ { 7 } = 128 .....(ii)

Dividing (ii) by (i), r2=4r ^ { 2 } = 4 ⇒ r = 2.