Question

Find Is 68 a term of the A.P. 7, 10, 13, ...?

Answer 1

In the given problem, we are given an A.P and the value of one of its term.

We need to find whether it is a term of the A.P or not.

So here we will use the formula, `a_n = a + (n - 1)d`

Here, A.P is 7, 10, 13

`a_n = 68`

a = 7

Now

Common difference (d) = `a_1 - a`

= 10 - 7

= 3

Thus using the above mentioned formula we get

`68 =  7 + (n - 1)3`

68 - 7 = 3n - 3

61 +3 = 3n

`n = 64/3`

Since the value of n is a fraction

Thus 68 is not the term of the given A.P

Therefore the answer is NO