perplexus.info :: Just Math : Nice sum

Nice sum (Posted on 2004-08-24)

Give a closed expression for the infinite sum:

1/1 + 2/(2+3) + 3/(4+5+6) + 4/(7+8+9+10) + ...

See The Solution Submitted by Federico Kereki

Rating: 3.0000 (5 votes)

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answer

| Comment 12 of 13 |

The required som is pi*coth(pi) - 1 = 2.1533481(approx.)

Posted by K Sengupta on 2007-05-28 12:14:40

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