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. 53
B. 60
C. 46
D. 67

Answer :

To find the 8th term of the given arithmetic sequence, we use the function [tex]\( f(n) = 7n - 3 \)[/tex], where [tex]\( n \)[/tex] represents the term number in the sequence.

Here's how we can calculate the 8th term step-by-step:

1. Identify the term number you need to find, which is [tex]\( n = 8 \)[/tex] in this case.

2. Plug the value of [tex]\( n \)[/tex] into the function:

[tex]\[
f(8) = 7 \times 8 - 3
\][/tex]

3. Perform the multiplication:

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

4. Subtract 3 from the result:

[tex]\[
56 - 3 = 53
\][/tex]

Therefore, the 8th term of the sequence is 53. The correct answer is A. 53.

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