Find next term of the series - 6, 8, 11, 16, 17, 13, ?

Answer 1

The next number is 26.

Solution:
* Please see image.

Answer 2

The answer is 20. for x=0,1,2,3,4 and 5 the values of y are 6,8,11,16,17 and 13. These follow the polynomial y=x^5/10-(31/24)*x^4+(65/12)*x^3-(197/24)*x^2+(359/60)*x+6 and for next value of x=6 the value for y=20.
It involves a lot of tedium to solve this type of question and should be discouraged. c++ listing for the proof of the same can be requested.

Answer 3

10
differences are 2,3,5,11,5,3 all are prime no.
firstly increase then decrease