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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 [tex]8^{\text{th}}[/tex] term of the sequence?

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

Answer :

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

Here’s how you can do it:

1. Start with the given 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. Perform the multiplication:
[tex]\( 7 \times 8 = 56 \)[/tex].

4. Subtract 3 from 56:
[tex]\( 56 - 3 = 53 \)[/tex].

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

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