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.

Respuesta :

The function is y = 640/ 4^x and the graph decreases exponentially from 640 (for x =0) and asymptotically approacdhes zero (when x becomes larger and larger). This is an exponential decay.

Answer: the last option of the list. The graph will show exponential decay


The graph will show exponential decay and The domain will be the set of natural numbers.

Option C and D will apply.

What is a Geometric Sequence ?

A geometric sequence is a sequence of numbers obtained by either  multiplying or dividing by the same value.

The geometric sequence given is

640, 160, 40, 10, ...

Each number is divided by 4

So the nth term will be

[tex]\rm T_n = a_1 r^{n-1}[/tex]

where [tex]\rm a_1 \; is \; the \; first \; term[/tex]

and r is the common ratio

r =(1/4) for this sequence

The function is

[tex]\rm T_n = 640(\dfrac {1}{4})^{n-1}[/tex]

As from the function it can be understood , That The graph will show exponential decay and The domain will be the set of natural numbers.

Option C and D will apply.

To know more about Geometric Sequence

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