perplexus.info :: Numbers : Consecutive Integer Series

Consecutive Integer Series (Posted on 2007-05-14)

In the infinite series 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5... each positive integer k appears k times in consecutive order.

Write a formula for the sum of the first n terms of the series.

See The Solution Submitted by Dennis

Rating: 4.5000 (2 votes)

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re(3): A formula

| Comment 10 of 12 |

(In reply to re(2): A formula by Charlie)

I believe I derived an explicit formula for the sum (without summation) in my solution.

Posted by Dennis on 2007-05-15 07:57:21

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