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Question

If 3rd term of a G.P is 12 and 6th term is 96, find its 7th term.


A

288

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B

192

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C

182

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D

144

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Solution

The correct option is B

192


To find the 7th term, we need the common ratio and the first term.

We will use the given two conditions to find them.

T3 = 12

a r31 = 12

a r2 = 12------------(1)

t6 = 96

a r61 = 96

ar5 = 96-------------(2)

(2)(1) r3 = 9612

= 8


r = 2

ar2 = 12

a × 22 = 12

a = 3

T7 = ar71

= 3 × 26

=64×3

= 192


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