Question

Find the 12th term of A. P. 7, 10, 13, 16, ......​

Answer 1

Given:

An A.P. 7, 10, 13, 16, ...

To find:

The 12th term of the A.P.

Solution:

The 12th term of the given A.P. is 40.

To answer this question, we will follow the following steps:

As we know that in an A.P. having a = first term, d = common difference, the nth term is given by

${n}^{th \:} \: term = a + (n - 1)d$

where n is the number of terms till nth term.

Now,

in the given A.P. 7, 10, 13, 16, ....

a = 7,

d = 10 - 7 = 3

n = 12

So,

on putting all the values in the above formula, we get

${n}^{th} \: term = 7 + (12 - 1)3$

On solving the above, we get

$= 7 + 33$

$=40$

Hence, the 12th term of the A.P. is 40.