Splitting ten

Puzzle

Ten people are sitting around a round table. The sum of ten dollars is to be distributed among them according to the rule that each person receives one half of the sum that his two neighbors receive jointly. Is there a way to distribute the money?

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Hint

This one sounds harder than it is. Read it carefully

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Answer

Yes

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Solution

Give everyone one dollar. Then everyone's neighbor on the right will have a dollar, and neighbor on the left also a dollar. That makes two dollars, and half of that is one dollar, which is what everyone has.