Confusing number sequence 2

Number Theory Level pending

288,1800,7200,....... What is the next number ?


The answer is 22050.

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1 solution

Drop TheProblem
Jul 31, 2014

Consider (1/2) (n^2-1)^2 (n^2). For n=3 we get 288, for n=4 we get 1800, for n=5 we get 7200, so for n=6 we get (1/2) (6^2-1)^2 (6^2)=22050.

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