Question

The third term of a G.P. is 2. Find the product of the first five terms of this G.P.

Answer 1

Let first five terms of G.P. be `a/(r^2), a/r, a, ar, ar^2`

Given,

Third term of the G.P. is 2.

∴ a = 2

Product of terms = `a/(r^2) × a/r × a × ar × ar^2 = a^5`

= 2⁵

= 32

Hence, product of the first five terms of this G.P. = 32