Explanation

The sequence is formed by increasing differences: +5 (from 1 to 6), +7 (from 6 to 13), and if the pattern continues with differences increasing by 2 each time, the next difference should be +9.

Let's calculate the value of k:

1 + 5 = 6

6 + 7 = 13

13 + 9 = 22

So, the sequence would be 1, 6, 13, 22, 33, 46. Therefore, the value of k is 22.