Question

in a G.P , the product of the first three terms 27/8 . the middle term is
a) 3/2
b) 2/3
c) 2/5
d) none of these

Answer 1

let first term be a/r and second be a and third be ar so. atq a/r ×a×ar =
27÷8 so a^3 =
27÷8 so a=3÷
2

Answer 2

Given,

In a G.P, the product of the first three terms 27/8.

To find,

The middle term of G.P

Solution,

Let the first three terms of a GP be a/r, a, ar.

The product of the first three terms of GP  is 27/8.

⇒  a/r × a × ar = 27/8

⇒  a³ = 27/8

⇒ a³ = (3/2)³

⇒  a = 3/2

Hence, the correct option is Option(b).

Therefore, the middle term of the Geometric Progression is a = 3/2.