Multiple choice

What will be the next term in the series? 0, 6, 24, 60, 120, ?

  1. 210

  2. 240

  3. 320

  4. 300

  5. 360
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A Correct answer
Explanation

Series: 0, 6, 24, 60, 120. These are n^3 - n for n=1, 2, 3, 4, 5. Next is 6^3 - 6 = 216 - 6 = 210.

AI explanation

This sequence represents the difference between consecutive perfect cubes, matching the identity (n+1)^3 - n^3 for values of n from 1 onwards. Expanding this for the sixth term gives 7^3 - 6^3, which equals 343 - 216. The resulting next term in the series is 210.

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