In every top of a regular polygon with 2n tops there is written an integer number so the numbers written in two neighboring tops always differ by 1 ( the numbers are consecutive )(adsbygoogle = window.adsbygoogle || []).push({});

The numbers which are bigger than both of their neighbors are called ”mountains” and those which are smaller than both of their neighbors are called ” valleys ”

Show that the sum of mountains minus the sum of valleys is equal to n .

Thanks!

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# Regular Polygon

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