Discussion: This student does an investigation and observes a pattern: the product of four consecutive integers appears to be once less than a perfect square, makes this as a conjecture and proves it by factorization.

Written response: Good investigation and conjecture that for each integer n, the product of n, n+1, n+2 and n+3 is one less than a perfect integer square. Nice job of factoring to show that this is, indeed, the case.

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