Answer :
To find the 8th term of the given arithmetic sequence, we can use the provided function of the sequence: [tex]\( f(n) = 7n - 3 \)[/tex].
Here's how you can calculate the 8th term step-by-step:
1. Identify the term to find: You are asked to find the 8th term, so [tex]\( n = 8 \)[/tex].
2. Substitute [tex]\( n \)[/tex] into the function: Replace [tex]\( n \)[/tex] in the function [tex]\( f(n) = 7n - 3 \)[/tex] with 8.
3. Perform the calculation:
- First, calculate [tex]\( 7 \times 8 \)[/tex]. This gives us 56.
- Next, subtract 3 from 56. This gives us 53.
So, the 8th term of the sequence is 53.
Therefore, the correct answer is:
D. 53
Here's how you can calculate the 8th term step-by-step:
1. Identify the term to find: You are asked to find the 8th term, so [tex]\( n = 8 \)[/tex].
2. Substitute [tex]\( n \)[/tex] into the function: Replace [tex]\( n \)[/tex] in the function [tex]\( f(n) = 7n - 3 \)[/tex] with 8.
3. Perform the calculation:
- First, calculate [tex]\( 7 \times 8 \)[/tex]. This gives us 56.
- Next, subtract 3 from 56. This gives us 53.
So, the 8th term of the sequence is 53.
Therefore, the correct answer is:
D. 53