Question 762427: 12 8 14 18 _____
whts d nxt numbr...????
Found 3 solutions by solver91311, portaminas, ikleyn:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Presume that 0 maps to 12, 1 maps to 8, 2 to 14 and 3 to 18, then with 4 points you can uniquely define a 3rd degree polynomial.
\ =\ ax^3\ +\ bx^2\ +\ cx\ +\ d)
So if the point ) is on the graph, then
\ =\ a(0)^3\ +\ b(0)^2\ +\ c(0)\ +\ d\ =\ 12)
Which is to say 
Then, if the point ) is on the graph:
\ =\ a(1)^3\ +\ b(1)^2\ +\ c(1)\ +\ d\ =\ 8)
or simplified:
Using similar reasoning, write the next two linear equations:
Since we know the value of  , we can simplify this to a 3X3 system:
Solve the 3X3 linear system to determine the values of the coefficients for
\ =\ ax^3\ +\ bx^2\ +\ cx\ +\ 12)
Then evaluate ) to determine the next number in the sequence.
By the way, next time you post show us a little respect by using the English language correctly instead of of using your nearly unintelligible teenager text-speak.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
Answer by portaminas(1)  (Show Source):
Answer by ikleyn(52787)  (Show Source):
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