Question

Which function can be used to represent the graphed geometric sequence?

Answer 1

The function which is used to represent the graphed geometric sequence is

$f(x) = 80{( \frac{1}{4}) }^{x - 1}$

Let a be first term and r common ratio of the Geometric progression.

The Geometric sequence is of the form a,ar,ar^2, ...

The common ratio will be ar/a.

From the graph, we can find out the sequence as 80,20,5, ...

Here we can see that the sequence is in Geometric Progression.

First term a=80

Common ratio r= ar/a

= 20/80

=1/4

General term of Geometric sequence is

$f(x) = a {r}^{x - 1}$

Substituting the value a = 80 and r = 1/4,

we get,

$f(x) =80 { (\frac{1}{4} )}^{x - 1}$

Hence, the correct answer is

$f(x) =80 { (\frac{1}{4} )}^{x - 1}$

Learn more about Geometric sequence here:

brainly.com/question/24643676

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