Which of the following sequences is an A.P. with common
difference 3 ?
(a) a, = 2n+ 3n, n eN (b) an = 3n + 5, neN
(c) a = 3n2 + 1. nen
(d) a. = 2n2 + 3.neN.
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Answer:
The answer is (d)
Step-by-step explanation:
d) a = 2n^2 + 3
we know a term of an A.P is written as,
Tn= a + (n-1)d
where d is the common diff.
Here, in 2n^2 + 3,
3 is the common diff. as, 'a' is a general term in this A.P and applies to all the terms, so all terms will have a diff. of 3.
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