https://file.aiquickdraw.com/mathbot/file/1737867599951dag044c9.jpg

Let's analyze the pattern in the sequence provided: 

3, 5, 9, 15, 23, ...

Looking at the differences between consecutive numbers:

- 5 - 3 = 2
- 9 - 5 = 4
- 15 - 9 = 6
- 23 - 15 = 8

The differences are increasing by 2 each time. Based on this pattern, the next difference should be 10.

Adding this difference to the last number:

- 23 + 10 = 33

Therefore, the next number in the pattern is **33**, which corresponds to option **E**.

Would you like further clarification or have any questions about this solution? Here are a few more related questions:

1. How can we apply this pattern to other number sequences?
2. What if the differences weren't increasing by 2 each time—how would the approach change?
3. Can you find other patterns where differences between numbers follow a similar progression?
4. How can patterns in sequences be used to predict future values in real-world situations?
5. What are other common types of number patterns we encounter in mathematics?

Tip: When working with number patterns, always start by analyzing the differences or ratios between numbers to identify the underlying rule.

What is the next number in the pattern 3, 5, 9, 15, 23, ...?

Analyze the arithmetic pattern in the sequence 3, 5, 9, 15, 23. Learn how differences increase by 2 to predict the next number: 33. Perfect for middle school students studying arithmetic progressions.

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