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

Mathematics

ScanSolve AI Answer

Answer

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.
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