Math Problem Statement

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

Solution

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,?3, 8, 13, 18, 23, ?

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

  • 83=58 - 3 = 5
  • 138=513 - 8 = 5
  • 1813=518 - 13 = 5
  • 2318=523 - 18 = 5

Following the same pattern, the next number would be:

23+5=2823 + 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.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences

Formulas

an = a1 + (n - 1) * d

Theorems

Arithmetic Progression

Suitable Grade Level

Grades 6-8