Answer :
To find the 8th term of the arithmetic sequence defined by the function [tex]\( f(n) = 7n - 3 \)[/tex], we follow these steps:
1. Identify the formula for the nth term: The given function for the arithmetic sequence is [tex]\( f(n) = 7n - 3 \)[/tex].
2. Substitute the term number into the formula: We want to find the 8th term, so we substitute [tex]\( n = 8 \)[/tex] into the function.
3. Perform the calculation:
[tex]\[
f(8) = 7 \times 8 - 3
\][/tex]
4. Calculate inside the parentheses:
[tex]\[
7 \times 8 = 56
\][/tex]
5. Subtract 3 from the result of the multiplication:
[tex]\[
56 - 3 = 53
\][/tex]
So, the 8th term of the sequence is 53. Therefore, the correct answer is:
A. 53
1. Identify the formula for the nth term: The given function for the arithmetic sequence is [tex]\( f(n) = 7n - 3 \)[/tex].
2. Substitute the term number into the formula: We want to find the 8th term, so we substitute [tex]\( n = 8 \)[/tex] into the function.
3. Perform the calculation:
[tex]\[
f(8) = 7 \times 8 - 3
\][/tex]
4. Calculate inside the parentheses:
[tex]\[
7 \times 8 = 56
\][/tex]
5. Subtract 3 from the result of the multiplication:
[tex]\[
56 - 3 = 53
\][/tex]
So, the 8th term of the sequence is 53. Therefore, the correct answer is:
A. 53