Q. 293.8( 13 Votes )

nth term of a sequence is 2n + 1. Is this sequence an A.P.? If so find its first term and common difference.

Answer :

We know that nth term of an A.P is given by,


an = a + (n – 1) d


Now equating it with the expression given we get,


2 n + 1 = a + (n – 1) d


2 n + 1 = a + nd – d


2 n + 1 = nd + (a – d)


Equating both sides we get,


d = 2 and a – d = 1


So we get,


a = 3 and d = 2.


So the first term of this sequence is 3, and the common difference is 2.


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