InQuisitive Practice Test

If a sequence is 2, 6, 12, 20, what is the next term?

24 28 36 30

Correct Answer:

Explanation:

The pattern shows that each step adds an even number that grows by 2: 2 to 6 adds 4, 6 to 12 adds 6, 12 to 20 adds 8. Following that trend, the next addition should be 10, so 20 + 10 = 30. Therefore the next term is 30. (Another way to see it: a_n = n(n+1); for n = 5, 5×6 = 30.)

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