Determine the next term in the following numerical sequence:

14, 18, 26, 42, ?

The correct answer is 74.

To determine the next term in the numerical sequence 14, 18, 26, 42, ?, let us analyze the differences between consecutive terms:

First term: 14

Second term: 18

Difference between 1st and 2nd term:

$18-14=4$

Third term: 26

Difference between 2nd and 3rd term:

$26-18=8$

Fourth term: 42

Difference between 3rd and 4th term:

$42-26=16$

Now, let us examine the sequence of differences obtained: 4, 8, 16.

We can observe that each difference is multiplied by 2 to get the next difference:

$4\times 2=8$

$8\times 2=16$

Following this pattern, the next difference to add to the 4th term (42) should be:

$16\times 2=32$

Adding this difference to 42 gives the missing term:

$42+32=74$

Therefore, the next term in the sequence is 74.