What is the next number: 2, 6, 12, 20, 30, ?

June 7, 2026Mathematics

ScanSolve AI Answer

4 stepsJune 7, 2026

Answer

The next number in the sequence is 42.

Here's how to find it:

Find the differences between consecutive numbers:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8
- 30 - 20 = 10
Identify the pattern in the differences: The differences (4, 6, 8, 10) are increasing by 2 each time.
Determine the next difference: The next difference should be 10 + 2 = 12.
Add the next difference to the last number in the sequence: 30 + 12 = 42.

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Quick Answer

The next number in the sequence is 42. Here's how to find it: 1.

Asked on June 7, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 7, 2026

The next number in the sequence is 42. Here's how to find it: 1. Find the differences between consecutive numbers: 6 - 2 = 4 12 - 6 = 6 20 - 12 = 8 30 - 20 = 10 2. Identify the pattern in the differences: The differences (4, 6, 8, 10) are increasing by 2 each time. 3. Determine the next difference: The next difference should be 10 + 2 = 12. 4. Add the next difference to the last number in the sequence: 30 + 12 = 42.