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The 6th term in the GP 2, 8, 32, …………….. is 

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The 6th term in the GP 2, 8, 32, …………….. is 

A) 512 

B) 128 

C) 2048 

D) 256

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2 Answers

+1 vote
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Best answer

Correct option is (C) 2048

Given G.P. is 2, 8, 32, .......

\(\therefore a_1=a=2,a_2=8\)

\(r=\frac{a_2}{a_1}=\frac82=4\)

\(\therefore a_6=ar^5=2.4^5\)

\(=2.1024=2048\)

Hence, \(6^{th}\) term of given G.P. is 2048.

+1 vote
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Correct option is C) 2048

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