Question

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

Answer 1

Answer:

Correct Answer: D

Step-by-step 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

$\displaystyle y=\left( \frac{1}{2} \right )^n$

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

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

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