the function a(n)=3n-7 represents the value of the nth term in a sentence what is the sum of the 1st and 5th terms of the sequence 

To find the sum of the 1st and 5th terms of the sequence represented by the function \( a(n) = 3n - 7 \), we need to calculate the values of \( a(1) \) and \( a(5) \), and then sum them.

### Step 1: Calculate the 1st term \( a(1) \)
Substitute \( n = 1 \) into the function:
\[
a(1) = 3(1) - 7 = 3 - 7 = -4
\]

### Step 2: Calculate the 5th term \( a(5) \)
Substitute \( n = 5 \) into the function:
\[
a(5) = 3(5) - 7 = 15 - 7 = 8
\]

### Step 3: Find the sum of the 1st and 5th terms
Now, add \( a(1) \) and \( a(5) \):
\[
\text{Sum} = a(1) + a(5) = -4 + 8 = 4
\]

### Final Answer:
The sum of the 1st and 5th terms is \( \boxed{4} \).

Would you like more details or have any further questions on this? Here are 5 related questions to explore:
1. How do you calculate the sum of terms in an arithmetic sequence?
2. What is the general formula for the \( n \)-th term in an arithmetic sequence?
3. How would the sum change if the formula was \( a(n) = 5n - 7 \)?
4. How can you calculate the 10th term of the sequence \( a(n) = 3n - 7 \)?
5. What is the significance of the formula in real-life applications, like business or science?

**Tip:** In sequences, each term depends on the previous term or a specific formula, and arithmetic sequences have a consistent difference between successive terms.

the function a(n)=3n-7 represents the value of the nth term in a sentence what is the sum of the 1st and 5th terms of the sequence

Learn how to calculate the sum of the 1st and 5th terms in the sequence defined by a(n) = 3n - 7. This problem explores arithmetic sequences and linear functions, offering a step-by-step guide to solving such problems. Suitable for students in Grades 6-8.

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