Q. 64.9( 7 Votes )

# Is 302 a term of the A.P. 3, 8, 13…?

Answer :

Given A.P is 3, 8, 13,…

Here, a1 = a = 3, a2 = 8

Common difference, d = a2 – a1 = 8 – 3 = 5

We know, an = a + (n – 1)d where a is first term or a1 and d is common difference and n is any natural number

an = 3 + (n – 1)5

an = 3 + 5n – 5

an = 5n – 2

To find: whether 302 is a term of this A.P. or not

Put an = 302

5n – 2 = 302

5n = 302 + 2

5n = 304

is not a natural number

Hence,304 is not a term of given A.P.

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