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consecutive sums

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November 5th, 2022

What kinds of numbers can be written as the sum of consecutive whole numbers? How many ways can you write a whole number as the sum of consecutive whole numbers? For instance 9 = 5+4 and 9 = 2+3+4. Is it possible to tell if a number can be written as the sum of a given number of consecutive whole numbers? For instance, can 101 be written as the sum of five consecutive whole numbers?

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