Mathematics

Which term of the G.P. 3, 6, 12, 24,….. is 768?

3 Likes

Given,

The G.P. : 3, 6, 12, 24, …..

a = 3

r = $\dfrac{6}{3} = 2$

Let nth term be 768.

T_n = 768

We know that,

nth term of a G.P. is given by,

T_n = ar^{n - 1}

⇒ 768 = (3)(2)^{n - 1}

⇒ $\dfrac{768}{3}$ = (2)^{n - 1}

⇒ 256 = (2)^{n - 1}

⇒ 2⁸ = (2)^{n - 1}

⇒ 8 = n - 1

⇒ n = 8 + 1

⇒ n = 9.

Hence, 9th term of G.P. is 768.

Answered By

1 Like