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It depends on the function that is used to generate the sequence - and there are infinitely many of them.

One possible generators is

t(n) = 10n2 - 90n + 200 where n = 1, 2, 3, ...

If that is the case, the next number is 0.

But, if I wanted to have the next number as 20, I could re-define the generating function as:

t(n) = (10n3 - 30n2 - 160n + 540)/3 where n = 1, 2, 3, etc.

Give me any fourth number and I can give you a cubic polynomial that will generate that sequence.

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12y ago

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Q: What is the next sequence for 120 60 20?
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