Question

Given the geometric sequence where a1 = -7 and the common ratio is 2, what is the domain for n?

Group of answer choices

All Integers where n ≥ 0

All Integers where n ≥ 1

All Integers

All Integers where n ≥ -1

Answer 1

Answer:

  (b)  All Integers where n ≥ 1

Step-by-step explanation:

You want to know the domain of 'n' where n identifies the terms of a geometric sequence that starts with term a1.

Counting

The "1" in "a1" tells you the terms are numbered using increasing integers, starting with 1. The next term is a2, and the one after that is a3. The general term is 'an'.

The values n may have are the integers 1, 2, 3, .... These are described by ...

  "All integers where n ≥ 1"

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Additional comment

These (positive integers) are called Counting Numbers or Natural Numbers.

Some sequences start with a0. It depends on how the author of the sequence wants to designate the terms. You will most often see the index number start with 0 when the sequence is associated with a computer program.

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