The next three numbers in this sequence are 0, -3, -6
If you utilize the “ Number Line” to figure the pattern of numbers the task is easy. The Number Line has a positive side and a negative side. You would place a 0 (zero) in the middle and then to the right would be the numbers positive 1 – 12 and to the left would be the numbers negative 1 – 12. You would use the tool to follow the pattern as below
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
The Number line is a handy tool which can be used for sequencing as above. It can also be used to solve equations with positive and negative numbers.