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I see that you're working on finding the first four terms and the 10th term of the given sequences. Let's solve them one by one:

### a) Sequence: \( n + 5 \)
This is a linear sequence where each term increases by 1. For \( n = 1, 2, 3, 4, \dots \), we can calculate the first four terms and the 10th term as follows:

- When \( n = 1 \), the term is \( 1 + 5 = 6 \)
- When \( n = 2 \), the term is \( 2 + 5 = 7 \)
- When \( n = 3 \), the term is \( 3 + 5 = 8 \)
- When \( n = 4 \), the term is \( 4 + 5 = 9 \)
- When \( n = 10 \), the term is \( 10 + 5 = 15 \)

So, the first four terms are:
\[ 6, 7, 8, 9 \]
And the 10th term is:
\[ 15 \]

### b) Sequence: \( 2n - 1 \)
This is another linear sequence. For \( n = 1, 2, 3, 4, \dots \), we can calculate the first four terms and the 10th term as follows:

- When \( n = 1 \), the term is \( 2(1) - 1 = 1 \)
- When \( n = 2 \), the term is \( 2(2) - 1 = 3 \)
- When \( n = 3 \), the term is \( 2(3) - 1 = 5 \)
- When \( n = 4 \), the term is \( 2(4) - 1 = 7 \)
- When \( n = 10 \), the term is \( 2(10) - 1 = 19 \)

So, the first four terms are:
\[ 1, 3, 5, 7 \]
And the 10th term is:
\[ 19 \]

### Final Answers:
- For sequence \( n + 5 \): The first four terms are \( 6, 7, 8, 9 \), and the 10th term is \( 15 \).
- For sequence \( 2n - 1 \): The first four terms are \( 1, 3, 5, 7 \), and the 10th term is \( 19 \).

Would you like further clarification or additional examples? 

Here are some related questions to expand your understanding:
1. How would you write a general formula for any arithmetic sequence?
2. How does the formula for \( n + 5 \) compare with the formula for \( 2n - 1 \)?
3. What is the difference between an arithmetic sequence and a geometric sequence?
4. How can you find the nth term of any arithmetic sequence?
5. How do you determine the common difference in an arithmetic sequence?

Tip: Always check if the sequence is arithmetic (where each term increases or decreases by a constant amount) or if another type of pattern is involved!

For each sequence, find the first 4 terms and the 10th term: a) n + 5, b) 2n - 1

Learn how to find the first four terms and the 10th term of arithmetic sequences. This step-by-step solution involves solving for the terms of sequences like n + 5 and 2n - 1, suitable for students in Grades 6-8.

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