Choose any number: it is possible to find a polynomial of order 4 such that it forms the rule for the numbers given in the question and your chosen number.
The polynomial
Un = (n3 - 9n2 + 30n - 18)/2 for n = 1, 2, 3, ... fits the given numbers. The next number is 16.
nothing
17 cause it is the next prime number
11
14
'11' The sequence is 'add 2' , the subtrtact '2'
65
nothing
17 cause it is the next prime number
28 (add on the prime number 11)
11
17
14
'11' The sequence is 'add 2' , the subtrtact '2'
-27 You subtract powers of 2 everytime... 1,2,4,8,16
Notice the pattern: 12^2 11^2 10^2 9^2 .. So the next term is 6^2=36
42 is the next number in this sequence. This number sequence is adding the next prime number to the last number. So 1 + 2 = 3. Then 3 + 3 = 6, 6 + 5 = 11, 11 + 7 = 18, 18 + 11 = 29. The next prime number after 11 is 13, so 29 + 13 = 42. The next numbers would be 59 (42+17), 78 (59+19), and 101 (78+23)
16.