Multiple choice

Directions: Identify the missing number in the given series. 0, 6, 24, 60, 120, ?

  1. 160

  2. 156

  3. 210

  4. 180

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The series follows the pattern n^3 - n for n=1, 2, 3, 4, 5. 1^3-1=0, 2^3-2=6, 3^3-3=24, 4^3-4=60, 5^3-5=120. The next term is 6^3-6 = 216-6 = 210.

AI explanation

The series follows the pattern of consecutive cubes minus consecutive square numbers. The terms are calculated as 1 cubed minus 1 squared equals 0, 2 cubed minus 2 squared equals 4 which does not fit 6. The correct pattern is n cubed minus n, yielding 1 cubed minus 1 equals 0, 2 cubed minus 2 equals 6, and 3 cubed minus 3 equals 24. Following this rule for the sixth term, 6 cubed minus 6 equals 216 minus 6, resulting in 210.

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