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Consecutive Integer Series (Posted on 2007-05-14) Difficulty: 3 of 5
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 12 of 12 |
(In reply to re(2): A formula by Dej Mar)

The infinite series presented in the problem is composed entirely of positive integers.  "0" is not a positive integer.  It makes no sense to include "the first zero terms" of the series in the summation formula.
  Posted by Mindrod on 2007-05-17 00:33:26

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