SOLUTION: 1320 1716 2184 2730 ? 4080

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Question 1050524: 1320 1716 2184 2730 ? 4080

Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
1320 1716 2184 2730 ? 4080
:
the nth member of this list is defined as
:
a(n) = n * (n-1) * (n-2)
:
? = 3360
:
note that ? is the 17th member of the list
:

Answer by ikleyn(52788) (Show Source):
You can put this solution on YOUR website!
.
I am wandering what a person can learn from such a problem?

From such a solution?
--------------------------------

Below is another "solution"

n*(n-1)*(n-2) + P(n)*(n-13)*(n-14)*(n-15)*(n-16)*(n-18),

where P(x) is any polynomial with integer coefficients.

It will give you the same values at the assigned points (13, 14, 15, 16, 18) and totally different value at the "17" point.

And what?

Such problems relate to the category "puzzles", but not to the category "math".