College

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. 67
B. [tex]60^{\circ}[/tex]
C. 53
D. 46

Answer :

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

[tex]$$
f(n) = 7n - 3 \quad \Longrightarrow \quad f(8) = 7(8) - 3.
$$[/tex]

First, multiply:

[tex]$$
7(8) = 56.
$$[/tex]

Then, subtract 3:

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

Thus, the [tex]\(8^{\text{th}}\)[/tex] term of the sequence is [tex]\(53\)[/tex], which corresponds to option C.

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