Given any number, it is possible to find a polynomial of order 7 that will fit the above values followed by the selcted number.
You can fit the 6th degree polynomial
Un = (88n6 - 1992n5 + 17515n4 - 75750n3 + 168157n2 - 179298n + 71640)/180 for n = 1, 2, 3, ...
Using this polynomial as the position-to-value rule, the next number is 842.
5
21
The next number in the sequence would be 25.
311311122110
120
5
21
The next number in the sequence would be 25.
266
311311122110
120
The next number in the sequence is 480
35
Consecutive terms in the sequence are found by dividing by 2 and adding 2. Therefore, after the number 10 comes 10/2 + 2 = 7.
5
27.
next in the sequence: 10,20,30,20