Question

The common ratio of a G.P. is 2 and its 6th term is 48. The first term is ______.

Options

• `3/2`

• `2/3`

• 1

• 2

Answer 1

The common ratio of a G.P. is 2 and its 6th term is 48. The first term is `bbunderline(2/3)`.

Explanation:

Given,

Common ratio of G.P. (r) = 2

By formula,

⇒ a_n = ar^{n − 1}

Given,

6^th term of G.P. is 48.

⇒ a₆ = 48

⇒ a × (2)^{6 − 1} = 48

⇒ a × 2⁵ = 48

⇒ 32a = 48

⇒ a = `48/32`

a = `3/2`