For what values of x, the numbers - 2/7, x, 2/7 are in G.P.?

Solution:

The given numbers are - 2/7, x, 2/7

Hence,

Common ratio r = x/ - 2/7 = - 7x/2

Also, Common ratio r = (- 7/2)/x = - 7/2x

Therefore,

⇒ - 7x/2 = - 7/2x

⇒ 14x² = 14

⇒ x² = 1

⇒ x = ± √1

⇒ x = ± 1

Thus, for x = ±1, the given numbers will be in G.P

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.3 Question 6

For what values of x, the numbers - 2/7, x, 2/7 are in G.P.?

Summary:

The values of x, for which the numbers - 2/7, x, 2/7 are in G.P is for x = ±1