High School

Select the correct answer.

Consider the given function of an arithmetic sequence:
[tex]f(n) = 7n - 3[/tex]

What is the [tex]8^{\text{th}}[/tex] term of the sequence?

A. 60
B. 46
C. 53
D. 67

Answer :

We are given an arithmetic sequence defined by the function

[tex]$$
f(n) = 7n - 3.
$$[/tex]

To find the [tex]$8^{\text{th}}$[/tex] term of the sequence, substitute [tex]$n = 8$[/tex] into the function:

[tex]$$
f(8) = 7(8) - 3.
$$[/tex]

First, multiply:

[tex]$$
7 \times 8 = 56.
$$[/tex]

Then, subtract [tex]$3$[/tex]:

[tex]$$
56 - 3 = 53.
$$[/tex]

Thus, the [tex]$8^{\text{th}}$[/tex] term of the sequence is [tex]$\boxed{53}$[/tex].

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