Question

The geometric sequence shown can be represented by the function y = (1/2) ^ n where the domain of the function is

help please!!

Answer 1

Correct Answer: D

Explanation:

Geometric Sequence

We can find each term of a geometric sequence if we have the general formula by replacing n for any integer number in the given domain. n must be an integer because it's the position where the term is located. For example,
`a_2` is the term located in position 2, so n cannot be irrational or decimal. The sequence provided is

`\displaystyle y=\left( (1)/(2) \right )^n`

The variable n starts from 0 and has no limit, so the domain is a set of integers

`\{0,1,2,3,4...\}`

`\boxed{\text{Correct Answer: D}}`