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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(2): A formula | Comment 7 of 12 |
(In reply to re: A formula by Mindrod)

Mindrod,

The sum of zero terms are not properly presented if the summation of terms were 1 to k.

The sum of the first zero terms of the series is: 

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


  Posted by Dej Mar on 2007-05-14 22:28:57
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