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Select the correct answer.

Consider the given function of an arithmetic sequence:

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

What is the 8th term of the sequence?

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

Answer :

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

Here's how we do it step-by-step:

1. Start with the function for an arithmetic sequence:
[tex]\[
f(n) = 7n - 3
\][/tex]
2. Substitute [tex]\( n = 8 \)[/tex] into the function:
[tex]\[
f(8) = 7(8) - 3
\][/tex]
3. Multiply 7 by 8:
[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 B. 53.

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