Larry is using an online calculator to calculate the outputs f(n) for different inputs n. the ordered pairs below show larry's inputs and the corresponding outputs displayed by the calculator: (1, 5), (2, 9), (3, 13), (4, 17) which of the following functions best represents the rule that the calculator uses to display the outputs? f(n) = 5n − 1 f(n) = 5n + 1 f(n) = 4n + 1 f(n) = 4n − 1

The rule is

Step-by-step explanation:

The ordered for Larry's inputs and the corresponding outputs displayed by the calculator are:

(1, 5), (2, 9), (3, 13), (4, 17)

We use the y-values of the ordered pairs to obtain the rule.

The y-values are:

The y-values form a sequence. The first term of this sequence is:

The common difference of this sequence is

The rule is given by:

We substitute the values to obtain:

The rule is