There are many posible answers. One of them is
Un = (-n4 + 13n3 - 53n2 + 95n - 36)/6 for n = 1, 2, 3, ...
There is no pattern
13 20 12
Pattern: +7,-4,+8,-3,+9,-2... Pattern continuation: +10,-1,+11,*0,+12,+1 17+10=27
The sequence reflects a pattern of multiplying by 3, then adding 3, to each successive value. The next value would be 144. Explanation: 4x3=12, 12+3=15, 15x3=45, 45+3=48, 48x3=144
This sequence appears to be a repeated pattern of: multiply by 3, divide by 2, multiply by 24 * 3 = 1212 / 2 = 66 * 2 = 12Now repeat the pattern...12 * 3 = 3636 / 2 = 1818 * 2 = 26Now repeat the pattern to get new terms36 * 3 = 108108 / 2 = 5454 * 3 = 162
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
21 and 13. The pattern is t(n) = (-n4 + 10n3 - 23n2 + 38n - 12)/12
3/19 : 12/19 : 4/19
The pattern seems to be +1 +3 +1 +3 (3+1 = 4, 4+3 = 7, 7+1 = 8, etc...) So next in the sequence would be 12.
Each number is decreasing by 3. The next numbers in the sequence would be -18, -21, -24, -27, -30.
t(n) = n2 - 2n + 4
It looks like two different operations in a pattern. Taking 4 multiply by 3 = 12. Taking 12 add 2 = 14. Taking 14 multiply by 3= 42 ........ so next is ..... taking 42 add 2 = 44.