If (2p +1), 13, (5p -3) Are in Ap, Find the Value of P. - Mathematics

If (2p +1), 13, (5p -3) are in AP, find the value of p.

Let (2p +1),13,(5p -3) be three consecutive terms of an AP.

Then 13-(2p +1) = (5p -3 )-13

⇒ 7p = 28

⇒ p= 4

∴ When p = 4,(2p +1) ,13 and (5p- 3) from three consecutive terms of an AP .

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