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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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re: A formula

| Comment 4 of 12 |

(In reply to A formula by Dej Mar)

Interesting formula! . . .

I was hoping for an explicit formula that could readily be used to find the sum for a large number of terms.

Posted by Dennis on 2007-05-14 16:48:08

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