The a(n) = 3 + 2n for n > 0 functions generate the arithmetic sequence.
Option(A) is correct.
It is given that the arithmetic sequence: 3,5,7,9,... where n is an integer.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same.
Arithmetic sequence is given by an = a + (n – 1)d.
The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.
By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.
Thus, a(n) = 3 + 2n for n > 0 functions generate the arithmetic sequence.
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