Question

The n^th term of the A.P. `(-1)/3, 2/3, 5/3, 8/3,` ......, is ______.

Options

• 3n − 4

• `n - 4/3`

• `(n - 2)/3`

• `(n - 4)/3`

Answer 1

The n^th term of the A.P. `(-1)/3, 2/3, 5/3, 8/3,` ......, is `bbunderline(n - 4/3)`.

Explanation:

A.P. `(-1)/3, 2/3, 5/3, 8/3,` ......,

a = `-1/3`

d = `2/3 - (-1/3)`

= `2/3 + 1/3`

= `(2 + 1)/3`

= `3/3`

= 1

∴ a_n = a + (n − 1)d

= `(-1)/3 + (n - 1)1`

= `(-1)/3 + n - 1`

= `(-1 - 3)/3 + n`

= `n - 4/3`