The full series should be: {1, 3, 6, 10, 12, 12, 10, 6, 3, 1}
It is nothing more than a series that increases in a certain way & then decreases in the exact opposite way. You can see this by using subtraction as follows:
3-1 = 2
6-3 = 3
10-6 = 4
12-10 = 2
12-12 = 0
12-10 = 2
10-6 = 4
6-3 = 3
3-1 = 2
Notes:
- the series pattern increases to 12 in this way: 2, 3, 4, 2
- the series pattern then decreases from 12 in the exact opposite way: 2, 4, 3, 2
- if graphed with time as the x-coordinate & each number as the y-coordinates, the full series would resemble a curve that looks similar to a hill with a flat top.
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(10/12) - (1/4) = (10/12) - (3/12) = 7/12
1/4 = 3/12 So 10 1/4 = 10 3/12 = 123/12
3/4 + 1/12 = 9/12 + 1/12 = 10/12 = 5/6
10/12 - 1/4 needs to have a common denominator. It appears 12 would be our common denominator.10/12 - (1/4 x 3/3) = 10/12 - 3/12 = 7/12.
3 and 10/12 - 2 and 9/12 = 1 and 1/12