### 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

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

Comments hidden to avoid spoilers.

## Follow Braingle!