Question

Write the first three terms of the APs when a and d are as given below:

a = `1/2`, d = `-1/6`

Answer 1

Given that,

First term (a) = `1/2`

and common difference (d) = `-1/6`

∵ n^th term of an AP,

T_n = a + (n – 1)d

∴ Second term of an AP,

T₂ = a + d

= `1/2 - 1/6`

= `2/6`

= `1/3`

and third term of an AP,

T₃ = a + 2d

= `1/2 - 2/6`

= `1/2 - 1/3`

= `(3 - 2)/6`

= `1/6`

Hence, required three terms are `1/2, 1/3, 1/6`.