Question

Verify that each of the following is an ap:(a) x, 2x+1, 3x+2, 4x+3,......

Answer 1

Answer:

Here,

common difference= a2 - a1 / a3 - a2/ a4 - a3

a1 = x                      

a2= 2x+1

so, C.D= 2x + 1 - x

            = x+1

a2 = 2x+1

a3= 3x+2

C.D = 3x+2 - (2x+1)

       = 3x + 2 - 2x -1

       = x + 1

a3= 3x+2

a4= 4x+3

C.D = 4x+3 - (3x+2)

       = 4x + 3 - 3x - 2

        = x + 1

Hence verified