Answer :
- Substitute $n=8$ into the function $f(n) = 7n - 3$.
- Calculate $7 Imes 8 = 56$.
- Subtract 3 from 56: $56 - 3 = 53$.
- The 8th term of the sequence is $\boxed{53}$.
### Explanation
1. Understanding the problem
We are given the function $f(n) = 7n - 3$ which represents an arithmetic sequence. We want to find the 8th term of this sequence, which means we need to find the value of $f(8)$.
2. Substituting n=8
To find the 8th term, we substitute $n = 8$ into the function: $$f(8) = 7(8) - 3$$
3. Calculating f(8)
Now, we perform the calculation: $$f(8) = 56 - 3 = 53$$
4. Final Answer
Therefore, the 8th term of the sequence is 53.
### Examples
Arithmetic sequences are used in various real-life scenarios, such as calculating simple interest, predicting the cost of items increasing at a constant rate, or determining the number of seats in rows of a stadium where each row has a fixed number of additional seats. Understanding arithmetic sequences helps in making predictions and managing resources in these situations.
- Calculate $7 Imes 8 = 56$.
- Subtract 3 from 56: $56 - 3 = 53$.
- The 8th term of the sequence is $\boxed{53}$.
### Explanation
1. Understanding the problem
We are given the function $f(n) = 7n - 3$ which represents an arithmetic sequence. We want to find the 8th term of this sequence, which means we need to find the value of $f(8)$.
2. Substituting n=8
To find the 8th term, we substitute $n = 8$ into the function: $$f(8) = 7(8) - 3$$
3. Calculating f(8)
Now, we perform the calculation: $$f(8) = 56 - 3 = 53$$
4. Final Answer
Therefore, the 8th term of the sequence is 53.
### Examples
Arithmetic sequences are used in various real-life scenarios, such as calculating simple interest, predicting the cost of items increasing at a constant rate, or determining the number of seats in rows of a stadium where each row has a fixed number of additional seats. Understanding arithmetic sequences helps in making predictions and managing resources in these situations.