Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in AP.

Question

Philoid · Accepted Answer

Since, the terms are in an AP, therefore

(4x - 1) - (5x + 2) = (x + 2) - (4x - 1)

⇒ - x - 3 = - 3x + 3

⇒ 2x = 6

⇒ x = 3

∴ x = 3