Q2 of 178 Page 548

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

Since, the terms are in an AP, therefore

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


⇒ k - 1 = 2


⇒ k = 3


∴ k = 3


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