perplexus.info :: Just Math : Consecutive Conclusion

Consecutive Conclusion (Posted on 2014-09-30)

Determine the maximum possible value of N for which 3¹¹ is expressible as the sum of N consecutive positive integers.

See The Solution Submitted by K Sengupta

Rating: 3.6667 (3 votes)

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In English (spoiler)

| Comment 3 of 11 |

My last solution used exponential notation. I hadn't realized that the numbers were so small, else I would have translated them.

The answer is N = 486, which corresponds to the sum of 122 through 607.

Posted by Steve Herman on 2014-09-30 14:56:54

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