With an even number of gears, the first and last gear rotate in which relation?

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Multiple Choice

With an even number of gears, the first and last gear rotate in which relation?

Explanation:
Motion through gears flips the direction each time two gears mesh. So starting with the first gear, the second gear must spin in the opposite direction. The third gear then reverses again relative to the second, which makes it spin the same as the first. The fourth reverses once more, ending up opposite to the first. This pattern continues: with an even number of gears, there is an odd number of reversals between the first and last gear, so the last gear spins in the opposite direction to the first.

Motion through gears flips the direction each time two gears mesh. So starting with the first gear, the second gear must spin in the opposite direction. The third gear then reverses again relative to the second, which makes it spin the same as the first. The fourth reverses once more, ending up opposite to the first. This pattern continues: with an even number of gears, there is an odd number of reversals between the first and last gear, so the last gear spins in the opposite direction to the first.

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