Final answer:
The rule for the sequence 9, 33, 43, 69, 101 is to add 4, then add 10 to the previous number.
Step-by-step explanation:
The rule for the given sequence 9, 33, 43, 69, 101 is to add 4, then add 10 to the previous number to obtain the next number in the sequence.
Starting with the number 9, we add 4, which gives us 13. Then we add 10 to 13, giving us 23. Continuing this pattern, we add 4 to 23 to get 27, and then add 10 to 27 to obtain 37. Finally, we add 4 to 37 to get 41, and then add 10 to 41 to obtain 51. Therefore, the next number in the sequence would be 51.