Step 1: Analyzing the pattern.
The given sequence is: 22, 21, 23, 22, 24, 23, .....
The pattern alternates between subtraction and addition:
\( 22 - 1 = 21 \)
\( 21 + 2 = 23 \)
\( 23 - 1 = 22 \)
\( 22 + 2 = 24 \)
\( 24 - 1 = 23 \)
Step 2: Identifying the next term.
Following this alternating pattern, we now add 2 to 23:
\[
23 + 2 = 25.
\]
Thus, the next term is 25.