Question

Find the n^th term of the A.P. 13, 8, 3, −2, ...

Answer 1

n^th term of the A.P. 13, 8, 3, −2, ...

Here

First term (a) = 13

Common difference of the A.P. (d) = 8 - 13

= -5

Now, as we know,

`a_n = a + (n - 1)d`

So for n^th term

`a_n = a + (n -1)d`

`= 13 + (n - 1)(-5)`

`= 13 - 5n + 5`

= 18 - 5n

Therefore the nth term of the given A.P is `a_n = 18 - 5n`