Given ANY number is it easy to find a polynomial of order 5 that will fit the five given numbers and the selected sixth.
However, the simplest polynomial to fit the above numbers is
Un = (3n2 - 3n + 4)/2 for n = 1, 2, 3, ...
Accordingly, the next number is 47.
next in the sequence: 10,20,30,20
14
14
The next number in the sequence will be 56.
20
10
Think it's 30...then 20
25 is the next number that appears in that sequence.
500
A number sequence is not a question. So there can be no "answer".
The sequence appears to be decreasing with varying intervals: 50 to 33 (17), 33 to 25 (8), 25 to 20 (5), 20 to 17 (3), 17 to 14 (3), 14 to 13 (1), and 13 to 11 (2). The differences between the numbers suggest that the next number decreases by 1 from 11, resulting in 10. Therefore, the next number in the sequence is 10.
11 and 8