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.