Multiple choice

Select the term that will come next in the following series. $6, 24, 60, 120, ?$

  1. $210$
  2. $216$
  3. $240$
  4. $186$
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A Correct answer
Explanation

The series follows the pattern n^3 - n: for n=2, 2^3 - 2 = 6; for n=3, 3^3 - 3 = 24; for n=4, 4^3 - 4 = 60; for n=5, 5^3 - 5 = 120; for n=6, 6^3 - 6 = 210. Alternatively, the differences between consecutive terms (18, 36, 54) increase by 18 each time.

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