Question

what is a recursive definition for the sequence 3, 5, 9, 17, 33..?

Answer 1

These are the some what less 'calculated' math problems and more guess and check ones.

Answer 2

the sequence is increasing by 2^n

Answer 3

It's not arithmetic, but you can see \[
a_{n+1}=(a_{n}-1) + a_{n}
\]

Answer 4

Or I suppose you could say \[
a_{n+1} = 2a_n-1
\]

Answer 5

The sequence is generated by the formula
(2^n)+1

Answer 6

No one asked for the explicit sequence. Amazing.