https://file.aiquickdraw.com/mathbot/file/1734106949139cwyo0ul6.jpg

The given image shows the first four square numbers, which are visualized using squares made of unit blocks. The sequence of the numbers is:

1, 4, 9, 16.

These are the square numbers because they are derived from squaring integers:
- \( 1^2 = 1 \),
- \( 2^2 = 4 \),
- \( 3^2 = 9 \),
- \( 4^2 = 16 \).

To find the next two terms in the sequence, we calculate:
- \( 5^2 = 25 \),
- \( 6^2 = 36 \).

Thus, the next two numbers in the sequence are **25 and 36**.

### Would you like further explanations or additional help? Here are five follow-up questions for deeper learning:

1. What are the square numbers up to \( 12^2 \)?  
2. How can you use square numbers to solve geometry problems involving squares?  
3. What is the difference between square numbers and cube numbers?  
4. How can you determine if a number is a perfect square?  
5. What patterns can be observed in the differences between consecutive square numbers?

### Tip:  
The difference between consecutive square numbers increases by 2 each time (e.g., \( 4 - 1 = 3 \), \( 9 - 4 = 5 \), \( 16 - 9 = 7 \)). This is because \( n^2 - (n-1)^2 = 2n - 1 \).

Find the next two number terms in the sequence of square numbers: 1, 4, 9, 16.

Learn how to find the next terms in the sequence of square numbers: 1, 4, 9, 16. This step-by-step explanation explores the formula for square numbers (n^2) and introduces key patterns in number sequences. Perfect for Grades 5-7.

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