Question

Find:

(i) Is 68 a term of the A.P. 7, 10, 13, ...?

(ii) Is 302 a term of the A.P. 3, 8, 13, ...?

(iii) Is − 150 a term of the A.P. 11, 8, 5, 2, ...?

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,

(i) Here, A.P is

Now,

Common difference (d) =

Thus, using the above mentioned formula, we get,

Since, the value of n is a fraction.

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

Therefore the answer is

(ii) Here, A.P is

Now,

Common difference (d) =

Thus, using the above mentioned formula, we get,

Since, the value of n is a fraction.

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

Therefore the answer is

(iii) Here, A.P is

Now,

Common difference (d) =

Thus, using the above mentioned formula

Since, the value of n is a fraction.

Thus, -150 is not the term of the given A.P

Therefore, the answer is