perplexus.info :: Just Math : Get the right product

Get the right product (Posted on 2015-12-01)

For a positive integer n > 2, consider the n-1 fractions 2/1; 3/2; ...; n/(n-1).

The product of these fractions equals n, but if you reciprocate (i.e. turn upside down) some of the fractions, the product will change.

How can you make the product equal 1?
Find all values of n for which this is possible.

No Solution Yet Submitted by Ady TZIDON

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computer verification it doesn't work for n=9

| Comment 3 of 5 |

(In reply to Different solution by Jer)

removed for error

Edited on December 2, 2015, 11:00 am

Posted by Charlie on 2015-12-02 10:52:59

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