The Critical Line – Volume 25

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Oliver Chambers delivers this months puzzle challenge - A Rational Sequence.

A sequence is defined such that , for all , where denotes the greatest integer less than or equal to .

a) If , what is the smallest such that is an integer? (computers allowed)

b) Show that if is rational and then the sequence must contain an integer.

 

Volume 24 Solution

The winner for this edition is Neil Jain, well done Neil! The solution is below:

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About the author

Oliver Chambers

Oliver Chambers is a qualified actuary and Data Engineer at Vesparum Capital. He is currently interested in the use of data analytics and software development to provide insights into financial markets.

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