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.