its +2, +2, -1... so the next is 10
This appears to be a Geometric Progression with a Common Divisor of -2, so the next term is 50.
That sequence consists of the values of the polynomial x4-x2-5x, starting at x=2. The next few values (for x=8 to 12) are 3992, 6435, 9850, 14465 and 20532.
Each number is 3 times the previous number so they would be 162, 486, and 1,458.
1, you are taking away 5, 4, 3, 2, 1
Divided by 4. 2, 1/2 are next.
The number that comes next in the series 1 2 2 5 3 10 is 7. You get this number by subtracting the number 3 from the number 10.
10
4
132
17 cause it is the next prime number
This series is of the function f(x) = x2+1, starting with x=0.The next number in the series is 26. The number after that is 37.
.125
1. Each number is 1/2 of previous number.
The next number in the series 3, 618, 72, is -1635. The relevant rule is Un = (-1161n2 + 4713n - 3546)/2 for n = 1, 2, 3, ...
10
17
54