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34kurt
3 years ago
12

Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's i

nputs 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
Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

Answer:

(C)  f(n) = 4n + 1

Step-by-step explanation:

i just took the test

joja [24]3 years ago
6 0

Answer:

The rule is \implies f(n)=4n+1

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:

5,9,13,17

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

a=5

The common difference of this sequence is

d=9-4=5

The rule is given by:

f(n)=a+d(n-1)

We substitute the values to obtain:

f(n)=5+4(n-1)

\implies f(n)=5+4n-4

The rule is \implies f(n)=4n+1

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