The sequence you provided appears to follow a non-linear pattern. Let's analyze it step by step:

- From \( 10 \) to \( 100 \): the difference is \( 100 - 10 = 90 \).
- From \( 100 \) to \( 200 \): the difference is \( 200 - 100 = 100 \).
- From \( 200 \) to \( 310 \): the difference is \( 310 - 200 = 110 \).

The differences between consecutive terms are increasing by 10 each time (90, 100, 110).

If this pattern continues, the next difference should be \( 110 + 10 = 120 \).

Therefore, the next term in the sequence would be:
\[
310 + 120 = 430
\]

So, the next term in the sequence is **430**.

Would you like more details or have any questions?

Here are five related questions:
1. What type of sequence is this (arithmetic, geometric, etc.)?
2. Can you find the \(n\)-th term formula for this sequence?
3. How would the sequence behave after 5 more terms?
4. What would happen if the difference between terms increased by a different value (e.g., 20 instead of 10)?
5. How does this sequence compare to a quadratic progression?

**Tip:** When identifying patterns in sequences, look for changes in the differences between terms to detect a linear or non-linear pattern.

Discover how to analyze a non-linear sequence like 10, 100, 200, 310, and predict the next number using pattern recognition and arithmetic progressions. This step-by-step guide is ideal for Grades 6-8 students, helping them understand the increasing differences between terms and how to extend the sequence.

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