Answer :
To find the 8th term of the arithmetic sequence described by the function [tex]\( f(n) = 7n - 3 \)[/tex], we plug in [tex]\( n = 8 \)[/tex] into the function.
Here's a step-by-step approach:
1. Identify the given function: [tex]\( f(n) = 7n - 3 \)[/tex].
2. Substitute [tex]\( n = 8 \)[/tex] into the function to find the 8th term of the sequence:
[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]
So, the 8th term of the sequence is 53. Therefore, the correct answer is:
D. 53
Here's a step-by-step approach:
1. Identify the given function: [tex]\( f(n) = 7n - 3 \)[/tex].
2. Substitute [tex]\( n = 8 \)[/tex] into the function to find the 8th term of the sequence:
[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]
So, the 8th term of the sequence is 53. Therefore, the correct answer is:
D. 53