Brain Teasers
Garath Loops
A Garath Loop is a sequence of one digit numbers where the next number is determined by adding the two numbers that come before it and using the number in the ones place (eg, 7+7=14, with 4 in the ones place). It is called a loop because every sequence possible eventually repeats itself. It is named by the two numbers it starts with.
With the exception of the loops starting with a 0 or double numbers, what Garath Loop is the smallest? ie, Which one goes through the least numbers before it repeats?
With the exception of the loops starting with a 0 or double numbers, what Garath Loop is the smallest? ie, Which one goes through the least numbers before it repeats?
Answer
Either loop 2-6, 6-8, 8-4, or 4-2. They are all part of the shortest loop;2-6-8-4
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