Final answer:
The expression that can be a rule for the number sequence 5, 9, 13, 17, 21, ... is 5 + 4n, where n is equal to 0, 1, 2, 3, 4.
Step-by-step explanation:
The expression that can be a rule for the number sequence 5, 9, 13, 17, 21, ... is 5 + 4n, where n is equal to 0, 1, 2, 3, 4.
This expression follows a pattern where each term is obtained by adding 4 to the previous term. The value of n represents the position of the term in the sequence.
For example, for the first term (n=0), 5 + 4(0) = 5. For the second term (n=1), 5 + 4(1) = 9. And so on.