Question

640, 160, 40, 10, ...

Which correctly describe the graph of the geometric sequence? Check all that apply.

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

\[a _{n}=a _{1}*r ^{(n-1)}\] \[n \ge1\]

Since n is equal to or greater 1 then the domain will be the natural numbers.

Since r= 1/4 and there is the exponent (n-1), the graph will show an exponential decay.