Multiple choice

In the following number series only one number is missing. Find out the missing number. 0 2 6 12 ?

  1. 20

  2. 18

  3. 36

  4. 30

  5. None of these
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A Correct answer
Explanation

The differences between consecutive terms are: 2 - 0 = 2, 6 - 2 = 4, 12 - 6 = 6. The differences increase by 2 each time: 2, 4, 6. Following this pattern, the next difference should be 8, giving 12 + 8 = 20. Alternatively, the pattern is n^2 - n: 0 = 1^2 - 1, 2 = 2^2 - 2, 6 = 3^2 - 3, 12 = 4^2 - 4, 20 = 5^2 - 5.

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