Question

Is 302 a term of the A.P. 3, 8, 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.

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

Here, A.P is 3, 8, 13

`a_n = 302`

a = 3

Now

Common difference (d) = `a_1 - a`

= 8 - 3

= 5

Thus, using the above mentioned formula, we get,

302 = 3 + (n -1)5

302 - 3 = 5n - 5

299 = 5n

`n = 299/5`

Since the value of n is a fraction

Thus 302 is not the term of the given A.P

Thererfore the answer is NO