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Look at this series: 12, 80, 252, 576....... What number should come next?

Question

Look at this series: 12, 80, 252, 576....... What number should come next?

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Solution

This series is based on the cube of natural numbers.

Here's how it works:

  • 12 is 2^3 + 2^2
  • 80 is 3^3 + 3^2
  • 252 is 4^3 + 4^2
  • 576 is 5^3 + 5^2

So, the next number in the series should be 6^3 + 6^2 = 216 + 36 = 252.

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