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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: A formula | Comment 6 of 12 |
(In reply to A formula by Dej Mar)

Sloane A060432

The summation from 0 to k doesn't make sense.

...and "n" doesn't appear anywhere in your formula.  How can you find the first n terms without specifying the value of n?

Edited on May 17, 2007, 12:45 am
  Posted by Mindrod on 2007-05-14 21:04:52

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