Question

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

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.

75, 67, 59, 51, ...

Here,

a₁ = 75

a₂  = 67

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

= 67 - 75 

= - 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,

`a_5 = a_1 + 4d`

     = 75 + 4 (-8)

     = 75 - 32

     = 43

Similarly, we find the sixth term,

`a_6 = a_1 + 5d`

     = 75 +5(-8)

     = 75 - 40

     = 35

Therefore, the common difference is d = - 8  and the next two terms of the A.P. are ` a_5 = 43, a_6 = 35`.