Question

Find the common difference of an ap 1/2r,1-3r/2r,1-6r/2r

Answer 1

A1 = 1/2r   A2 = (1-3r)/2r  A3 = (1-6r)/2r
 

d = A2 - A1
   = [1-3r/2r]- [1/2r]
   = [1-3r-1]/2r
   = [-3r]/2r
   =  -3/2

verifying d = A3-A2
                  = [1-6r]/2r - [1-3r]/2r
                  = [1-6r-1+3r]/2
                   = [-3r]/2r
                    = -3r/2r
                     -3/2

Answer 2

Answer:

A1 = 1/2r   A2 = (1-3r)/2r  A3 = (1-6r)/2r

 

d = A2 - A1

  = [1-3r/2r]- [1/2r]

  = [1-3r-1]/2r

  = [-3r]/2r

  =  -3/2

verifying d = A3-A2

                 = [1-6r]/2r - [1-3r]/2r

                 = [1-6r-1+3r]/2

                  = [-3r]/2r

                   = -3r/2r

                    -3/2