If k, (2k – 1) and (2k + 1) are the three successive terms of an AP, find the value of k.

Question

Philoid · Accepted Answer

Since, the terms are in an AP, therefore

(2k - 1) - k = (2k + 1) - (2k - 1)

⇒ k - 1 = 2

⇒ k = 3

∴ k = 3