High School

The first 5 numbers of a sequence are shown below. Which of the following functions produces the sequence with [tex]n[/tex]?

26, 35, 44, 53, 62,...

A. [tex]f(n) = 9n + 26[/tex]
B. [tex]f(n) = 26 - 9n[/tex]
C. [tex]f(n) = 9n + 17[/tex]
D. [tex]f(n) = 17 - 9n[/tex]

Answer :

The functions that produce the sequence with n will be f(n) = 9n + 17. Then the correct option is C.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

26, 35, 44, 53, 62, .....

The first term of the sequence is 26 and the common difference of the sequence is given as,

d = 35 - 26

d = 9

Then the functions produce the sequence with n will be given as,

f(n) = 26 + (n - 1) × 9

f(n) = 26 + 9n - 9

f(n) = 9n + 17

The functions that produce the sequence with n will be f(n) = 9n + 17. Then the correct option is C.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Answer:

C)

Step-by-step explanation:

f(n) = 26 + 9(n-1)

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