Use the method of common differences:
6 6 2 -6 -18
\ / \ / \ / \ /
0 -4 -8 -12
\ / \ / \ /
-4 -4 -4
The differences become common at the 2nd level down, hence the desired model for the nth term is going to be a 2nd degree polynomial.
The value of the term when n = 1 is 6, so:
Which is to say:
Using similar logic, we develop:
and
Solve the 3X3 system to find the values of the coefficients for
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
