Question:

Find the missing number in the series: 2, 6, 12, 20, 30, ?

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Instead of extending the pattern forward, try plugging each answer choice back in and see which one keeps the difference-of-differences constant.
Updated On: Jul 8, 2026
  • 40
  • 44
  • 42
  • 38
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The Correct Option is C

Solution and Explanation

The differences between consecutive terms are 4, 6, 8, 10, increasing by 2 each time. The next difference is 12, so the next term is 30 + 12 = 42. (Equivalently the terms are n(n+1): 1x2, 2x3, 3x4, 4x5, 5x6, 6x7 = 42.) The correct option is '42'.
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