Question

Given the arithmetic sequence where an= 3 + 2(n-1), what is the domain for n?
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Answer 1

The set of all positive integers equal to or greater than 1

Explanation:

n can take on the integer values 1 ... ∞

The formula for the nth term is a(n) = a(1) + 2(n - 1)

First term: n = 1. Then a(1) = 3 + 2(0) = 3 (as expected).

5th term: n = 5. Then a(5) = 3 + 2(5 - 1) = 3 + 8 = 11

...

and so on.