28
30
In modulo 12 arithmetic.
Any number can be an arithmetic mean. SO just pick any three numbers between -2 and 12. And if you want to find a set of numbers for which your selected number is a mean add 1 and subtract 1 from it, or add 2 and subtract 2 from it (or do both). Suppose you pick 8. Add 1 and subtract 1: 7 and 9. 8 IS the arithmetic mean of 7 and 9. Add 2 and subtract 2: 6 and 10. 8 is the arithmetic mean of 6 and 10. It is also the AM of 6, 7, 9 and 10.
Take the middle value (arithmetic mean) of those two.
28
30
In modulo 12 arithmetic.
The sequence in the question is NOT an arithmetic sequence. In an arithmetic sequence the difference between each term and its predecessor (the term immediately before) is a constant - including the sign. It is not enough for the difference between two successive terms (in any order) to remain constant. In the above sequence, the difference is -7 for the first two intervals and then changes to +7.
Any number can be an arithmetic mean. SO just pick any three numbers between -2 and 12. And if you want to find a set of numbers for which your selected number is a mean add 1 and subtract 1 from it, or add 2 and subtract 2 from it (or do both). Suppose you pick 8. Add 1 and subtract 1: 7 and 9. 8 IS the arithmetic mean of 7 and 9. Add 2 and subtract 2: 6 and 10. 8 is the arithmetic mean of 6 and 10. It is also the AM of 6, 7, 9 and 10.
Take the middle value (arithmetic mean) of those two.
When you are working in modulo 12 arithmetic: for example, on a clock, or the months of a year.
The sequence 216 12 23 is neither arithmetic nor geometric.
A sequence of numbers where the difference between any two successive numbers is the same. The simplest is 1,2,3,4..., other examples 76, 78, 80, 82 ... and 6, 9, 12, 15 ...
12% = 0.12 In arithmetic, "of" usually means "times". 0.12 x 60 = 7.2
9
Arithmetic