Question

Write the first five terms of the following sequences whose nth term are:

`a_n = (n - 2)/3`

Answer 1

`a_n = (n - 2)/3`

Given sequence `a_n = (n - 2)`

To write first five terms of given sequence `a_n = (n - 2)/3`

put n = 1, 2, 3, 4, 5 then we get

`a_ 1 = (1 - 2)/3 = (-1)/3;  a_2 = (2 - 2)/3 = 0`

`a_3 = (3-2)/3 = 1/3;  a_4 = (4 -2)/3 = 2/3`

`a_5 = (5 - 2)/3 = 1`

∴ The required first five terms of given sequence `a_n = (n -2)/3` are `(-1)/3,0,1/3,2/3,1`