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# Is 402 a Term of the Sequence: 8, 13, 18, 23.....? - ICSE Class 10 - Mathematics

ConceptArithmetic Progression - Finding Their General Term

#### 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?

#### APPEARS IN

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