Babbage Engine
Level
pending
Using the Babbage Engine, what is the next number in this series?
1 3 1 3 1 3
This might help: click here
29
65
44
39
74
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Babbage Engine:
1 3 1 3 1 3 x
Find the difference between consecutive numbers.
2 -2 2 -2 2 (x-3)
Find the difference between those consecutive numbers.
-4 4 -4 4 (x-5)
Repeat.
8 -8 8 (x-9)
Repeat.
-16 16 (x-17)
Repeat.
32 (x-33)
This is the base pattern (or at least, the only base pattern we can find with the information given)
∴ the numbers are the same.
∴ 32 = x - 33
65 = x
x = 65