Question

If p-1, p+3, 3p-1aes in AP, the p is equal to​

Answer 1

Step-by-step explanation:

we kown that the formula

d= a2-a1

given :-

a1=p-1 , a2= p+3 and a3= 3p-1

a +d = p-1 ...(1) or a+ 2d= p+3....(2)

By elmination method

a + d = p - 1

a + 2d=p + 3

- - -

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

= p- 1 - p - 3

-d = - 4

d = 4

Now put equation 1

a + d = p- 1

a + 4 = p- 1

a = p- 1- 4

=p -5

a1= p -1

p - 5= p - 1

p- p = -1 + 6

0 = 5