Answer :
To find the 8th term in the arithmetic sequence given by the function [tex]\( f(n) = 7n - 3 \)[/tex], follow these steps:
1. Identify the function for the sequence: The function provided is [tex]\( f(n) = 7n - 3 \)[/tex]. This means that to find the term corresponding to any position [tex]\( n \)[/tex], we substitute [tex]\( n \)[/tex] into the function.
2. Substitute [tex]\( n = 8 \)[/tex] into the function: To find the 8th term, we need to substitute [tex]\( n = 8 \)[/tex] into the function:
[tex]\[
f(8) = 7 \times 8 - 3
\][/tex]
3. Perform the calculation:
- First, calculate [tex]\( 7 \times 8 = 56 \)[/tex].
- Then subtract 3 from 56: [tex]\( 56 - 3 = 53 \)[/tex].
4. Conclude the result: The 8th term of the sequence is 53.
Therefore, the correct answer is A. 53.
1. Identify the function for the sequence: The function provided is [tex]\( f(n) = 7n - 3 \)[/tex]. This means that to find the term corresponding to any position [tex]\( n \)[/tex], we substitute [tex]\( n \)[/tex] into the function.
2. Substitute [tex]\( n = 8 \)[/tex] into the function: To find the 8th term, we need to substitute [tex]\( n = 8 \)[/tex] into the function:
[tex]\[
f(8) = 7 \times 8 - 3
\][/tex]
3. Perform the calculation:
- First, calculate [tex]\( 7 \times 8 = 56 \)[/tex].
- Then subtract 3 from 56: [tex]\( 56 - 3 = 53 \)[/tex].
4. Conclude the result: The 8th term of the sequence is 53.
Therefore, the correct answer is A. 53.