any ideas on this sequence of numbers 2,3,5,8,11,21 __

[neo2014]

any ideas on this sequence of numbers 2,3,5,8,11,21 __ any ideas what is the next number and how to work it out???

 

[Ishuda]

any ideas on this sequence of numbers 2,3,5,8,11,21 __ any ideas what is the next number and how to work it out???

Well now if the 11 were a 13 it would be easy since I am a little familiar with the Fibonacci sequence. But, since it isn't exactly that I'll guess '4 numbers of the Fibonacci sequence, then subtract 2 from the the next and repeat starting with the next in sequence' so we have
N_n = F_n+2; n = 5 m + j, j = 1, 2, 3, 4
N_5m+5 = F_5m+7 - 2; m = 0, 1, 2, 3, ...
where F_n is the nth Fibonacci number.