What is the next term in the following number pattern?1, 4, 9, 16, 25,

The given number pattern is:

\[
1, 4, 9, 16, 25, \dots
\]

These numbers are the squares of consecutive integers:

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

Following this pattern, the next term would be:

\[
6^2 = 36
\]

Thus, the next term in the pattern is **36**.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the next term after 36 in this pattern?
2. What is the general formula for the \(n\)-th term of this pattern?
3. How would you describe the difference between consecutive terms in this sequence?
4. Can you find the 10th term in this sequence?
5. How do you find the sum of the first \(n\) square numbers?

**Tip:** Recognizing patterns like perfect squares can often help you predict future terms quickly in a sequence.

What is the next term in the following number pattern? 1, 4, 9, 16, 25,

Discover the next term in the sequence of perfect squares: 1, 4, 9, 16, 25. Learn how the numbers in the pattern follow the rule of squaring consecutive integers, with a step-by-step explanation. Ideal for students in Grades 5-7, covering core concepts in algebra and number patterns.

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