Question

Does anybody know what this number sequence is?

Answer 1

Lets list the differences in the above list : these are  2 5 11 23 47:

 call this  list a

This  last list has difference 3 6 12 24 (list b)  so next number in this list is 48  and next number in list a is  47+48 = 95

In the original sequence therefore the next number is 89 + 95 =  184

so the  list  a and b  are   2  5  11  23  47  95                    List a

                                           3  6  12   24  48                        List b

The next number in list  b is 96 and the next in list a is 96 + 95 =  191

so next number in sequence in question = 184 + 191 =  375

Next number in list b is 192 and  next in list a =  191 + 192 = 383

So last number in sequence = 375 + 383  =  758

Next 3 numbers are 184, 383 and 758 answer

Sorry but I cant figure out the  explicit rule at moment. I'll  try and come back with it.