Q. 24.2( 48 Votes )

# Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

Given: 8th of the G.P. is 192 and common ratio is 2.

That is,

a8 = 192 and r = 2.

We know that in G.P an = arn-1

Here, n: number of terms

a: First term = 5/2

r: common ratio

a8 = a(2)8-1 ( r = 2 and n = 8)

192 = a(2)7

a × 128 = 192

Now,

a12 = 3072

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