Question

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

a = `sqrt(2)`, d = `1/sqrt(2)`

Answer 1

Given that,

First term (a) = `sqrt(2)`

and common difference (d) = `1/sqrt(2)`

∵ n^th term of an AP,

T_n = a + (n – 1)d

∵ Second term of an AP,

T₂ = a + d

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

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

= `3/sqrt(2)`

and third term of an AP,

T₃ = a + 2d

= `sqrt(2) + 2/sqrt(2)`

= `(2 + 2)/sqrt(2)`

= `4/sqrt(2)`

Hence, required three terms are `sqrt(2), 3/sqrt(2), 4/sqrt(2)`.