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If (K – 3), (2k + L) and (4k + 3) Are Three Consecutive Terms of an A.P., Find the Value Of K. - Mathematics

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

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Solution

(k 3), (2k 1) and (4k 3) are three consecutive terms of an A.P.

⇒ 2(2k + 1) = (k -  3) + (4k + 3)

⇒ 4k + 2 = k - 3 + 4k + 3

⇒ 4k + 2 = 5k

⇒ k = 2

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