The sequence you provided is a list of perfect squares. Each number is the square of a positive integer. Here's the sequence with the corresponding square roots:

- \(1 = 1^2\)
- \(4 = 2^2\)
- \(9 = 3^2\)
- \(16 = 4^2\)
- \(25 = 5^2\)
- \(36 = 6^2\)

This sequence follows the pattern:

\[
n^2 \quad \text{where } n = 1, 2, 3, 4, 5, 6, \dots
\]

The next number in this sequence would be:

\[
7^2 = 49
\]

Would you like to explore more about perfect squares, sequences, or anything else related?

Here are 5 related questions you might find interesting:
1. How do you find the square root of a non-perfect square?
2. What is the difference between a perfect square and a perfect cube?
3. How can you identify if a number is a perfect square just by looking at its digits?
4. Can you derive a formula to sum the first \(n\) perfect squares?
5. How are perfect squares used in geometry, specifically in calculating areas?

**Tip:** Recognizing patterns in sequences is crucial for solving various mathematical problems, especially in algebra and number theory.

Explore the sequence of perfect squares: 1, 4, 9, 16, 25, 36. This problem demonstrates key concepts in number theory, including the formula n^2 where n is a positive integer, and discusses the properties of perfect squares. Ideal for students in Grades 5-7.

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