Question

Find the 10^th term of the A.P. –40, –15, 10, 35,...

Answer 1

In this problem, we are given different A.P. and we need to find the required term of that A.P.

10^th term of the A.P. −40, −15, 10, 35,...

Here

First term (a) = -40

Common difference of the A.P (d) = -15 - (-40)

= -15 + 40

= 25

Now as we know

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

So for 10^th term

`a_10 = a + (10 - 1)d`

= -40 + (9)25

= -40 + 225

= 185

Therefore the 10^th term of the given A.P is `a_10 = 185`