Solved 2, 5, 10, 17, 26, ?

Solved 2, 5, 10, 17, 26, ?

Explanation

We'll look at the differences between terms:


5 − 2 = 3


10 − 5 = 5


17 − 10 = 7


26 − 17 = 9


So the differences are: 3, 5, 7, 9 → increasing by 2 each time (an arithmetic sequence).


The next difference should be: 11


Now add 11 to the last term:


26 + 11 = 37