Asked by GEORGE
Consider a series of integers a1< a2<... < a43 < a44 that are all positive and all of the numbers
are taken to be less than 125. There are 43 differences between adjacent numbers in this series defined
as,di= ai+1 - ai . Can you prove that some value of the differences (which must also be positive
integers) must occur at least 10 times?
are taken to be less than 125. There are 43 differences between adjacent numbers in this series defined
as,di= ai+1 - ai . Can you prove that some value of the differences (which must also be positive
integers) must occur at least 10 times?
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