Question

If P + 1, 2P + 1, 4P - 1 are in A.P. then the value of P is

(A) 1

(B) 2

(C) 3

(D) 4

Answer 1

Correct option is : (B) 2

Given:-

P + 1, 2p + 1, 4p - 1 are in A.P.

A.P. = \(a_1, a_2, a_3 .....\) 

Common difference (d) : \(a_2-a_1=a_3-a_2\)  

\(a_2-a_1=a_3-a_2\)  

(2p + 1) - (p + 1) = (4p - 1) - (2p + 1)

2p + 1 - p - 1 = 4p - 1 - 2p - 1

p = 2p - 2

p - 2p = - 2

- p = - 2

\(\therefore \) p = 2

Answer 2

Correct option is : (B) 2