https://file.aiquickdraw.com/mathbot/file/17255627356915c80jgk5.jpg

The sequence in the image is:  
\[ 1, 4, 9, 16, \dots \]

This is a sequence of perfect squares:
\[
1^2 = 1, \ 2^2 = 4, \ 3^2 = 9, \ 4^2 = 16, \dots
\]

Following this pattern, the next numbers would be:
\[
5^2 = 25, \ 6^2 = 36, \ 7^2 = 49, \dots
\]

Thus, the next numbers in the sequence are \(25, 36, 49, \dots\).

Would you like more details on how sequences like this are formed or analyzed?

Here are 5 relative questions:
1. What is the general formula for generating perfect squares?
2. Can you identify a different sequence from another pattern like cubes?
3. How do perfect squares relate to geometry?
4. Could you explore the difference between consecutive perfect squares?
5. How does this sequence apply to real-world scenarios?

**Tip:** Recognizing common patterns in sequences, like squares or cubes, can help quickly solve math problems involving series.

Learn how to continue the sequence of perfect squares starting with 1, 4, 9, 16. This problem demonstrates key concepts in sequences and perfect squares, including the formula n^2. Suitable for students in Grades 6-8.

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