Question

Find the common difference of the A.P. and write the next two terms  51, 59, 67, 75, ..

Answer 1

In this problem, we are given different A.P. and we need to find the common difference of the A.P., along with the next two terms.

  51, 59, 67, 75, .. 

Here,

`a_1 = 51`

`a_2 =59`

So, common difference of the A.P. (d) = `a_2 - a_1` 

= 59 - 51

= 8

Also, we need to find the next two terms of A.P., which means we have to find the 5^thand 6^th term.

So, for fifth term,

a₅ = a₁ +4d

    = 51 + 5(8)

    = 51 + 32

    = 83

Similarly, we find the sixth term,

a₆ = a₁ +5d

     = 51 + 5(8)

     = 51 + 40

     = 91

Therefore, the common difference is d = 8  and the next two terms of the A.P. are `a_5 = 83 , a_6 = 91` .