Now, find a pattern in a different format. Select the next number in the sequence:Fill in the blank: 9, 13, 17, 21, 25, 29, _____

1. Break Down the Problem

We need to analyze the given sequence of numbers: 9, 13, 17, 21, 25, 29. Our goal is to identify the pattern and compute the next number in the sequence.

2. Relevant Concepts

To find a pattern in a sequence of numbers, we often look at the differences between consecutive numbers. This helps us determine if the sequence is arithmetic (where each term increases by a constant amount) or has some other pattern.

3. Analysis and Detail

Let's calculate the differences between consecutive terms:

• $13 - 9 = 4$
• $17 - 13 = 4$
• $21 - 17 = 4$
• $25 - 21 = 4$
• $29 - 25 = 4$

The common difference here is $4$. This indicates that we are dealing with an arithmetic sequence where each term increases by $4$.

4. Verify and Summarize

To find the next term, we add $4$ to the last number in the sequence: $29 + 4 = 33$.

Final Answer

The next number in the sequence is 33.