If the product of the first four consecutive terms of a G.P is 256 and if the common ratio is 4 and the first term is positive, then its 3rd term is

Given the product of first four consecutive terms of GP = 256.

Let the first four terms be a, ar, ar², ar³

Product = 256 = axarxar²xar³ = a⁴r⁶

Also given r = 4,

We have 256 = a⁴ × (4)⁶

a⁴ =

a = which is positive.

Third term is ar² = = 8

So the correct option is A.