Question

Find the common difference of the A.P. and write the next two terms  119, 136, 153, 170, ... 

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.

119, 136, 153, 170, ... 

Here,

`a_1 = 119`

`a_2 = 136`

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

= 136 - 119

= 17

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,

`a_5 = a_1 + 4d`

     = 119 + 4 (17)

     = 119 + 68

     = 187

Similarly, we find the sixth term,

`a_6 = a_1 + 5d`

     = 119 + 5(17)

     = 119 + 85

     = 204

Therefore, the common difference is d = 17 and the next two terms of the A.P. are `a_5 = 187 , a_6 = 204`.