https://file.aiquickdraw.com/mathbot/file/1726184895485wvhokzn0.jpg

The problem presented in the image asks to "trouver le nombre qui complète logiquement la série" (find the number that logically completes the series) with the sequence:

\[
3, 8, 13, 18, 23, ?
\]

This is an arithmetic sequence, where each number increases by 5.

- \(8 - 3 = 5\)
- \(13 - 8 = 5\)
- \(18 - 13 = 5\)
- \(23 - 18 = 5\)

Following the same pattern, the next number would be:

\[
23 + 5 = 28
\]

So, the correct number to complete the sequence is **28**.

Would you like more details on arithmetic sequences or to explore related concepts?

Here are 5 questions to expand on this:
1. What is the general formula for an arithmetic sequence?
2. How do you find the common difference in a sequence?
3. What other types of sequences (e.g., geometric) can be used in problems like this?
4. How can arithmetic sequences be applied in real-world scenarios?
5. Can arithmetic sequences ever be decreasing?

**Tip:** In arithmetic sequences, the common difference between consecutive terms is always constant.

Trouver le nombre qui complète logiquement la série: 3 - 8 - 13 - 18 - 23 - ?

Learn how to find the next number in the arithmetic sequence 3, 8, 13, 18, 23 with a simple step-by-step explanation. This problem involves arithmetic sequences, where each term increases by a constant value, making it suitable for students in Grades 6-8.

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