The differences between the values are 2, 4, 6, 8
The differences between these differences are 2, 2, 2
Thus the pattern's equation starts n2
The pattern minus n2 is 1, 0, -1, -2, -3
The difference between these values is -1
Thus the equation continues n2-n+2
This equation gives us 2, 4, 8, 14, 22, 32, 44, 58, 74...
18 is the answer. The pattern is alternating adding and subtracting the list of prime numbers.
In fact, what are the next 2 numbers: 7, 14, 17, 21, 27, 28, 35, 37, ?, ? The next two numbers are 42 and 47. It's a set of numbers that contain or can be divided by 7.
94, 87. The pattern appears to be add 14 and then subtract an uneven number that decreases each time. (The first time it is 11, then 9, then 7.)
7, 14 and 21
The pattern is +4, 2x, +4, 2x, and so on. The next number is 32.
-12, 14, -16
30, 42, 38
404
23. The pattern is simply add the previous two numbers to find the next one.
11, -10, 9
Because of the pattern of plus 11 then minus ten I would go with 13 24 14
They are ... 2 -2 -6
41 122 365
One possible position to value rule is Un = (20n3 - 90n2 + 160n - 75)/3 Accordingly, the next three numbers are U4 = 325 U5 = 655 U6 = 1165 Alternatively, give my any three numbers that you want as the next three and I will find you a polynomial of order 6 that will fit the 4 given number and the 3 that you specify.
They are: 14+15+16 = 45
18 is the answer. The pattern is alternating adding and subtracting the list of prime numbers.
Based on the sample you have provided, I see that 4 numbers, counting by 2 from 12 to 18, form a repeating sequence. I would expect that the next 4 numbers in this series would again be 12, 14 16, and 18.