Question 1158771
<pre>
          Sequence 0, 10, 24, 56,  112, 190, ...

first differences:  10  14  32   56   78
2nd differences:      4   18   24   22
3rd differences:        14   6    -2
4th differences:          -8   -8   

So the next 3rd diff is    -2-8 = -10
The next 2nd diff is      22-10 = 12
The next first difference 78+12 = 90
The next number in sequence is  190 + 90 = <b>280</b>