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. 60
B. 53
C. 46
D. 67

Answer :

To find the 8th term of the arithmetic sequence given by the function [tex]\( f(n) = 7n - 3 \)[/tex], follow these steps:

1. Identify the term number: We are looking for the 8th term, so set [tex]\( n = 8 \)[/tex].

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

3. Calculate the 8th term:

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

4. Perform the multiplication:

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

5. Subtract 3 from the result:

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

So, the 8th term of the sequence is 53. Therefore, the correct answer is B. 53.

Other Questions