College

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. 67
B. 46
C. 53
D. 60

Answer :

To find the 8th term of the arithmetic sequence given by the function [tex]\( f(n) = 7n - 3 \)[/tex], we need to substitute [tex]\( n = 8 \)[/tex] into the function.

Here’s how to calculate it step-by-step:

1. Start with the function for the sequence: [tex]\( f(n) = 7n - 3 \)[/tex].

2. Substitute [tex]\( n = 8 \)[/tex] into the function:
[tex]\[
f(8) = 7 \times 8 - 3
\][/tex]

3. Calculate the multiplication:
[tex]\[
7 \times 8 = 56
\][/tex]

4. Subtract 3 from the result:
[tex]\[
56 - 3 = 53
\][/tex]

So, the 8th term of the sequence is 53.

Therefore, the correct answer is C. 53.

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