The sequence given is:

\[ 4, 9, 13, 18 \]

To identify the pattern, let’s analyze the differences between each pair of consecutive terms:

- \( 9 - 4 = 5 \)
- \( 13 - 9 = 4 \)
- \( 18 - 13 = 5 \)

It appears the terms alternate in increments: the first step adds 5, the second step adds 4, then the next step adds 5, and so on.

### Pattern Description
The sequence follows an **alternating addition pattern**:
1. Start with 4.
2. Add 5 to get the next term.
3. Add 4 to get the following term.
4. Repeat this pattern (add 5, then add 4).

If you continue this pattern, the next terms would be:
- \( 18 + 5 = 23 \)
- \( 23 + 4 = 27 \)
- \( 27 + 5 = 32 \)

Thus, the sequence can be described as an **alternating sum pattern with increments of 5 and 4**.

Would you like further details or have any questions on this? 

Here are some related questions:
1. What is the general formula for this pattern?
2. How would the sequence change if the increments were swapped (4, then 5)?
3. How many terms will it take to reach or exceed 100 in this sequence?
4. Can this pattern be classified under any specific type of sequence?
5. How would the sequence behave if we continued it indefinitely?

**Tip:** To identify patterns, look at the differences between terms to determine if they're constant or follow a secondary pattern.

Explore the alternating addition pattern in the sequence 4, 9, 13, 18. This problem involves arithmetic sequence concepts and pattern recognition, suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation