Question

Find the common difference of the A.P. and write the next two terms  1.8, 2.0, 2.2, 2.4, ...

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.

1.8, 2.0, 2.2, 2.4, ... 

Here,

a₁ = 1.8

a₂ = 2.0

So, common difference of the A.P. (d) = a₂ - a₁

= 2.0 - 1.8

=0.2

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

     = 1.8 + 4(0.2)

     = 1.8 + 0.8

     = 2.6

Similarly, we find the sixth term,

a₆ = a₁ + 5d

    = 1.8 +  5(0.2)

    = 1.8 + 1

   = 2.8

Therefore, the common difference is d = 0.2 and the next two terms of the A.P. are  a₅ = 2.6 , a₆ = 2.8 .