If the first term of a G.P. is 8 and its common ratio is -2. The 3^rd term of this G.P. is :

1. -32

2. 2

3. 32

4. -2

Given,

First term of G.P. = 8

Common ratio = -2

By formula,

⇒ a_n = ar^{n - 1}

Substituting values we get :

⇒ a₃ = 8 × (-2)^{3 - 1}

⇒ a₃ = 8 × (-2)²

⇒ a₃ = 8 × 4

⇒ a₃ = 32.

Hence, Option 3 is the correct option.