Directions: Determine the term that should replace the question mark (?) to complete the given numerical sequence.

4, 5, 13, 22, 86, ?

The correct answer is 111.

To determine the missing term in the given numerical sequence, we analyze the pattern of differences between consecutive terms:
4, 5, 13, 22, 86, ?

Let us compute the step-by-step differences:

Difference between the 1^st and 2^nd terms:
$5-4=1=1^2$

Difference between the 2^nd and 3^rd terms:
$13-5=8=2^3$

Difference between the 3^rd and 4^th terms:
$22-13=9=3^2$

Difference between the 4^th and 5^th terms:
$86-22=64=4^3$

From the steps above, we observe an alternating pattern of adding consecutive natural numbers raised to alternating powers of 2 (squares) and 3 (cubes):
+1², +2³, +3², +4³, ...

To find the 6^th term, the next increment must be 5² (which equals 25):
$?=86+5^2$
$?=86+25=111$

Therefore, the term that replaces the question mark (?) is 111.