If 4/5, a, 2 are in AP, find the value of a.

Question

Philoid · Accepted Answer

Since, the terms are in an AP, therefore

a - (4/5) = 2 - a

⇒ 2a = 2 + (4/5)

⇒ 2a = 14/5

⇒ a = 14/10

⇒ a = 7/5

∴ a = 7/5