#### Question

Is 402 a term of the sequence:

8, 13, 18, 23.....?

#### Solution

The given sequence is 8, 13, 18, 23.....

Now

13 - 8 = 5

18 - 13 = 5

23 - 18 = 5, etc

hence the given sequence is an A,P with first term a = 8 and common difference d= 5.

The general term of an A.P is given by

`t_n = a + (n - 1)(5)`

=> 402 = 8 + (n - 1)(5)

=> 394 = 5n - 5

=> 399 = 5n

=> n = `399/5`

The number of terms cannot be a fraction.

So clearly, 402 is not the term of the given sequence.

Is there an error in this question or solution?

Solution Is 402 a Term of the Sequence: 8, 13, 18, 23.....? Concept: Arithmetic Progression - Finding Their General Term.