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.
(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 is the answer
5 8 7 10 9 12 11 14 The pattern is +3, -1, +3, -1, +3, -1, +3
9/10 × 1/12 = (9×1)/(10×12) = 9/120 = (3×3)/(40×3) = 3/40
(10/12) - (1/4) = (10/12) - (3/12) = 7/12
(10 + 12 + 9) ÷ 3 = 10.33 to two decimal places.
(5/6) * (1/10) + (2/3) / (4/11) = (5/6) * (1/10) + (2/3) * (11/4)= (1/12) + (11/6) = 1/12 + 22/12 = 23/12 or 111/12(5/6) * (1/10) + (2/3) / (4/11) = (5/6) * (1/10) + (2/3) * (11/4)= (1/12) + (11/6) = 1/12 + 22/12 = 23/12 or 111/12(5/6) * (1/10) + (2/3) / (4/11) = (5/6) * (1/10) + (2/3) * (11/4)= (1/12) + (11/6) = 1/12 + 22/12 = 23/12 or 111/12(5/6) * (1/10) + (2/3) / (4/11) = (5/6) * (1/10) + (2/3) * (11/4)= (1/12) + (11/6) = 1/12 + 22/12 = 23/12 or 111/12
60 to 30 _ -1/2 30 to 20 _ -1/3 20 to 15 _ -1/4 15 to 12 _ -1/5 12 - (12*1/6) = 10
Pattern: +7,-4,+8,-3,+9,-2... Pattern continuation: +10,-1,+11,*0,+12,+1 17+10=27
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
1 picosecond = 10-12 second1 millisecond = 10-3 second = (10-3 / 10-12) = 109 picoseconds
The factors of 9 are: 1, 3, 9 The factors of 10 are: 1, 2, 5, 10 The factors of 12 are: 1, 2, 3, 4, 6, 12
4/12 + 10/12 - 3/12 = 11/12