Question

Which statements correctly describe how the graph of the geometric sequence below should appear?

640, 160, 40, 10, ...

Select two options.

The graph will show exponential growth.
The graph will appear linear.
The domain will be the set of natural numbers.
The range will be the set of natural numbers.
The graph will show exponential decay.

Answer 1

notice the pattern in the sequence. each consecutive number is the previous number divided by 4 (or multiplied by 1/4).

additionally, when we plot sequences, we set the domain to be the term numbers, positive integers starting from 1. so x = 1 would correspond to y = 640, x = 2 to y = 160, etc.

with that in mind which two answer choices do you think are correct?