Pick any three consecutive integers for example, 4, 5, and 6. The square of the middle term

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Pick any three consecutive integers— for example, 4, 5, and 6. The square of the middle term is 1 more than the product of the first and third; for example, 25 is 1 more than 4(6) = 24. Prove this is true for any three consecutive integers.

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