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.

The options that hold true are:

Step-by-step explanation:

We are given a geometric sequence as:

                        640, 160, 40, 10, ...  

Clearly we see that each term is decreasing at a constant rate as compared to it's preceding term.

Hence, the graph formed by this sequence will be a  exponential graph with decay .

( since, the terms of the sequence are decreasing)

The sequence could be modeled as:

Let represents the nth term of the sequence.

Hence,

As, the sequence is geometric hence the domain will be a set of natural numbers.

but the range will be positive real numbers.

Hence, the correct option is:

The domain will be the set of natural numbers.

The graph will show exponential decay

m a t h w a y. c o m

step-by-step explanation:

b

step-by-step explanation: