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

Asked by Abhisek | 2 years ago |  77

Solution :-

The common ratio of the G.P., r = 2

And, let a be the first term of the G.P.

Now,

a8 = ar 8–1 = ar7

ar7 = 192

a(2)7 = 192

a(2)7 = (2)6 (3)

$$a=\dfrac{(2)^6\times 3}{(2)^7}=\dfrac{3}{2}$$

$$a_{12} = ar ^{12–1} = \dfrac{3(2)}{2}^{11}$$

(3)(2)10= 3072

Answered by Pragya Singh | 2 years ago

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