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An exponential sequence (G.P.) is given by 8√2, 16&rad...

An exponential sequence (G.P.) is given by 8√2, 16√2, 32√2, ... . Find the nth term of the sequence

A.

82n

B.

2(n+2)2

C.

2(n+3)

D.

8n2

Correct answer is B

8√2, 16√2, 32√2, ..

a=82;r=T2T1=16282=2

Tn=arn1

Tn=82×2n1

Tn=23×2n1×2

Tn=23+n1×2