Find the next number in the sequence: 2, 6, 12, 20, 30, ____
A40
B42
C44
D36
Answer & Solution
Correct answer: B. 42
Differences: 4, 6, 8, 10 (successive even numbers). Next difference is 12, so 30 + 12 = 42. Equivalently, the n-th term is n(n+1) for n = 1, 2, 3, ..., giving 2, 6, 12, 20, 30, 42.
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