12 memory sequences
Three numbers can be arranged in 27 different sequences if repetition is allowed, and in 6 different sequences if it's not.
There are 6 sequences in the metabolic pathway of Glycolysis
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
infinity
3! = 6 different sequences =================
Ac-cur-ate. 3
3 tons
There would be a possibility of about 16 sequences.
Assuming the the last part of the question is that the sequence may not END in 000, there are 2997 sequences.
45 sequences. Make it easier and think what are the 2 tail flips. They are: 1-2; 1-3;1-4...1-10. That is 9 sequences starting with 1. There are 9 sequences starting with 2, 9 starting with 3, etc, up to 10. That makes 90 sequences, but since 1-2 is the same as 2-1, ie order doesn't matter, divide that in half to get 45.
There are infinitely many arithmetic sequences, and infinitely many geometric sequences, and polynomials, and power equations. Basically, there are too many possible sequences. Arithmetic ones, for example: 13, 14, 15, 16, 17 9, 11, 13, 15, 17 5, 8, 11, 14, 17 1, 5, 9, 13, 17 -3, 2, 7, 12, 17 I hope you get the idea. These are all increasing, and the common differences are integers but both these conditions can be changed.