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0,1,1,2,3,5,8,13
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
Alike is the same as Differences means subtractions Sums means additions Quotients means divisions Products means multiplications
In geometric growth the ratios of successive terms is the same whereas in arithmetic growth the differences are the same.
FOIL. First terms Outer terms Inner terms Last terms