How to Prove All Dominoes Fall in an Infinite Arrangement

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Induction Hypothesis:

Assume that the statement holds true for any arrangement of n dominoes.

Inductive Step:

Consider an arrangement of n + 1 dominoes. Since the first three fall, and the nth domino falls when the (n + 3)rd domino falls, all n + 1 dominoes fall.

Conclusion:

By strong induction, it is proven that all dominoes fall in an infinite arrangement of dominoes if you know that the first three dominoes fall, and that when a domino falls, the domino three farther down in the arrangement also falls.

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