Question: A positive integer is called accommodating if it can be written as the sum of (at least two) consecutive positive integers. For example, 9 =

A positive integer is calledaccommodatingif it can be written as the sum of (at least two) consecutive positive integers. For example, 9 = 5 + 6, 12 = 3+4+5, and 15 = 1+2+3+4+5 areaccommodating.

Explore and formulate a conjecture aboutaccommodatingintegers and Prove your conjecture.

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