Question

Write the first four terms of the A.P. when the first term a and the common difference d are given.

a = `1/2`, d = `3/2`

Answer 1

Given: a = `1/2` and d = `3/2`

a_n = a + (n − 1)d

a₁ = a = `1/2`

a₂ = a + d

= `1/2 + 3/2`

= `4/2`

= 2

a₃ = a + 2d

= `1/2 + 2(3/2)`

= `1/2 + 3`

= `1/2 + 6/2`

= `7/2`

a₄ = a + 3d

= `1/2 + 3(3/2)`

= `1/2 + 9/2`

= `10/2`

= 5

The first four terms are `1/2, 2, 7/2, 5`