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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
The pattern in the sequence 2, 5, 10, 16, 26, 37 involves the differences between consecutive terms. The differences are: 3 (5-2), 5 (10-5), 6 (16-10), 10 (26-16), and 11 (37-26). The differences themselves increase as follows: 2, 1, 4, and 1, suggesting a pattern where the increments vary. This can indicate a non-linear growth, but observing closely, the second differences show a consistent pattern that could help predict future terms.
In geometric growth the ratios of successive terms is the same whereas in arithmetic growth the differences are the same.