Q22 of 178 Page 548

If (2p – 1), 7, 3p are in AP, find the value of p.

Since, the terms are in an AP, therefore

7 - (2p - 1) = 3p - 7


⇒ 8 - 2p = 3p - 7


⇒ 5p = 15


⇒ p = 3


∴ p = 3


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