constance differences fill in missing values 7,17,32,55, ?,?,?

Question

?, 7 ,17, 32 ,55, ? ,?, ?

Answer 1

Problem: constance differences fill in missing values 7,17,32,55, ?,?,?
?, 7 ,17, 32 ,55, ? ,?, ?

Constants(!) There isn't much to work with here, but if you look at
the increments from one value to the next, you find that the increments
are NOT constant. Then, examine the second-level increments, and they
are also not constant. However, the third-level increments probably
ARE constant.
7,  17,  32,  55, ?,?,?
  10   15   23
      5     8
         3

Let's go with that.

                  ?       ?      ?
7, 17, 32, 55,    89,    137,    202
 10  15  23    34     48      65
     5    8    11     14     17
       3     3      3        3