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)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info