Answer: What Comes Next? #366

The answer is D: 41.

The finished pattern: 5, 8, 17, 20, 29, 32, 41.
The finished pattern.

The rule

Add 3, then add 9, then 3, then 9, and so on. The pattern of adding takes turns.

The pattern as Python code

Here is a tiny Python program that follows the same rule. Type it into IDLE and run it to print the whole pattern, including the answer.

adds = [3, 9]
number = 5
for step in range(7):
    print(number)
    number = number + adds[step % 2]

When you run it, Python prints:

5
8
17
20
29
32
41

Pixel says: Try changing a number in the code and run it again. Can you make the pattern go on for 20 steps? Meow!