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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A formula

| Comment 1 of 12

Sigma [i=0 to k] FLOOR(1/2 + SQRT(2k))

Posted by Dej Mar on 2007-05-14 15:09:16

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