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For question 4, the values given are:

- \( a = 0.13 \) (first term of the arithmetic sequence)
- \( d = 0.5 \) (common difference)

The general formula for the \( n \)-th term of an arithmetic sequence is:

\[
a_n = a + (n - 1) \cdot d
\]

Where:
- \( a_n \) is the \( n \)-th term,
- \( a \) is the first term,
- \( d \) is the common difference,
- \( n \) is the term number.

Let's calculate the first few terms of the sequence:

1. \( a_1 = a = 0.13 \)
2. \( a_2 = 0.13 + (2 - 1) \cdot 0.5 = 0.13 + 0.5 = 0.63 \)
3. \( a_3 = 0.13 + (3 - 1) \cdot 0.5 = 0.13 + 1.0 = 1.13 \)
4. \( a_4 = 0.13 + (4 - 1) \cdot 0.5 = 0.13 + 1.5 = 1.63 \)
5. \( a_5 = 0.13 + (5 - 1) \cdot 0.5 = 0.13 + 2.0 = 2.13 \)

Would you like to see more terms or any additional details about this process?

Here are 5 related questions:
1. How can you find the sum of the first \( n \) terms in an arithmetic sequence?
2. What is the general form of an arithmetic progression?
3. How does the common difference \( d \) affect the growth of the sequence?
4. Can you reverse the process to find \( a \) if \( a_n \) and \( n \) are known?
5. How do geometric sequences differ from arithmetic sequences?

**Tip**: In arithmetic sequences, the difference between consecutive terms is always constant, making it easy to calculate any term or sum using the correct formulas.

Solve for the first few terms of an arithmetic sequence with a = 0.13 and d = 0.5.

Learn how to determine the terms of an arithmetic sequence where the first term is 0.13 and the common difference is 0.5. This problem uses the formula a_n = a + (n - 1) * d and is suitable for students in Grades 6-8.

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