If (k - 3), (2k + 1) and (4k + 3) are three consecutive terms of an A.P., find the value of k.

Since, (k - 3), (2k + 1) and (4k + 3) are in A.P.

Hence, difference between consecutive terms are equal.

∴ 2k + 1 - (k - 3) = 4k + 3 - (2k + 1)

⇒ 2k + 1 - k + 3 = 4k + 3 - 2k - 1

⇒ k + 4 = 2k + 2

⇒ 4 - 2 = 2k - k

⇒ k = 2.

Hence, the value of k = 2.