Question

Given the geometric sequence where a=3 and the common ratio is −1, what is the domain for n?

A. All integers where n≤0

B. All integers where n≥20

C. All integers where n≤1

D. All integers where n≥21

Answer 1

The domain for n in the geometric sequence with a starting value of 3 and a common ratio of -1 includes all positive integers starting from 1.

Step-by-step explanation:

The question asks for the domain for n in a geometric sequence with a first term a = 3 and a common ratio of -1. To identify the domain of n, we should recognize that the term number in a sequence can start at n = 1 and go on indefinitely to any positive integer value; there is no reason to start at 0, or to limit the sequence only to negative integers or zero. Therefore, the domain for n in this geometric sequence includes all positive integers, starting from 1.