Which of the following numbers will replace the question marks ($?$) in the given series?
$$2,?,?,17,26,37,50,65,82$$

Let's analyze the pattern by checking the difference between consecutive known terms:
* $26-17=9$
* $37-26=11$
* $50-37=13$
* $65-50=15$
* $82-65=17$

The differences between the terms are successive odd numbers: $9,11,13,15,17$.
Working backward, the preceding differences should be $3,5,$ and $7$.

Let's test this:

* First term $=2$
* Second term $=2+3=5$
* Third term $=5+5=10$
* Fourth term $=10+7=17$ (which matches the given series)

Alternative logic: The series follows the pattern $n^2+1$, starting from $n=1$:

* $1^2+1=2$
* $2^2+1=5$
* $3^2+1=10$
* $4^2+1=17$, and so on.

Therefore, the missing numbers are $5$ and $10$.