What kind of numbers always be written as sum of nonzero


What kind of numbers can always be written as sum of two nonzero consecutive whole numbers? 3 nonzero consecutive whole numbers? 4 consective whole numbers? etc.. Write conjectures about kinds of numbers which can be written as sums of nonzero consecutive whole numbers and test the conjectures for some numbers greater than 50.

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Mathematics: What kind of numbers always be written as sum of nonzero
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