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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