Answer :
To find the 8th term of the given arithmetic sequence defined by the function [tex]\(f(n) = 7n - 3\)[/tex], follow these steps:
1. Identify the formula: The sequence is represented by the function [tex]\(f(n) = 7n - 3\)[/tex]. This formula tells us how to calculate each term of the sequence based on its position [tex]\(n\)[/tex].
2. Substitute the term number: We want to find the 8th term of the sequence, which means we need to substitute [tex]\(n = 8\)[/tex] into the formula.
3. Calculate the term:
- Replace [tex]\(n\)[/tex] with 8 in the formula: [tex]\(f(8) = 7(8) - 3\)[/tex].
- Perform the multiplication: [tex]\(7 \times 8 = 56\)[/tex].
- Subtract 3 from the result: [tex]\(56 - 3 = 53\)[/tex].
4. Conclusion: The 8th term of the sequence is 53.
Therefore, the correct answer is A. 53.
1. Identify the formula: The sequence is represented by the function [tex]\(f(n) = 7n - 3\)[/tex]. This formula tells us how to calculate each term of the sequence based on its position [tex]\(n\)[/tex].
2. Substitute the term number: We want to find the 8th term of the sequence, which means we need to substitute [tex]\(n = 8\)[/tex] into the formula.
3. Calculate the term:
- Replace [tex]\(n\)[/tex] with 8 in the formula: [tex]\(f(8) = 7(8) - 3\)[/tex].
- Perform the multiplication: [tex]\(7 \times 8 = 56\)[/tex].
- Subtract 3 from the result: [tex]\(56 - 3 = 53\)[/tex].
4. Conclusion: The 8th term of the sequence is 53.
Therefore, the correct answer is A. 53.