Question 81

Find the missing number in the following series.

0, 2, 6, 12, ?, 30, ...

Solution

The differences between consecutive terms are 2, 4, 6, so the next difference is 8, giving $$12 + 8 = 20$$. Then $$20 + 10 = 30$$ confirms the pattern. Each term is also $$n(n + 1)$$ for $$n = 0, 1, 2, \ldots$$.

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