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I can't find any whole numbers that add up consecutively to 10,000. I solved an equation to get the first number but the number turned out to be a fraction. Do you want fractions or whole numbers ?
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If x + x + 1 + x + 2 + x + 3 = 10,000
then
4x + 6 = 10,000
4x = 9,994
x = 2,498.5 (this is not an integer)
Therefore there are not four consecutive integers which add up to 10,000.
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