Question

if p-1, p+3, 3p-1 are in Ap , then find the value of p.​

Answer 1

Given,

p-1, p+3, 3p-1 are in A.P

So second term - first term = common difference

second term - first term = common difference

And also third term - second term = common difference -------(eq1)

first term = p-1

second term = p+3

third term = 3p-1

Substitute them in (eq1)

p+3- (p-1) = 3p-1 - (p+3)

p+3-p+1 = 3p-1-p-3

4 = 2p-4

2p = 4+4

2p = 8

p = 8/2

p = 4