perplexus.info :: Sequences : Consecutive Count

Consecutive Count (Posted on 2015-04-23)

Three positive integers 2520 < b < c constitute three consecutive terms of a harmonic sequence and, b divides c.

Find the total count of pairs (b,c) for which this is possible.

No Solution Yet Submitted by K Sengupta

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re: computer solution

| Comment 2 of 4 |

(In reply to computer solution by Charlie)

Didn't you forget that b has to divide c>?

I expect that an analytical solution is available, but can't do it now.

Posted by Steve Herman on 2015-04-24 09:08:43

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