For what values of p are 2p + 1, 13, 5p – 3 are three consecutive terms of an A.P.?

Since the terms are in A.P so the common differences in them is same

So, 13– (2p + 1) = 5p –3 –13


12– 2p = 5p –16


28 = 7p


P = 4


13