Question

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

Answer 1

Given,

2p+1 , 13 , 5p-3 are in A.P

i.e.,

⇒ 13 - (2p + 1) = 5p - 3 - 13

⇒ 13 - 2p - 1 = 5p - 16

⇒ 12 - 2p = 5p - 16

⇒5p + 2p = 12 + 16

⇒7p = 28

⇒ p = 28/7

⇒ p = 4