perplexus.info :: Sequences : Consecutive Conclusion II

Consecutive Conclusion II (Posted on 2022-05-25)

The sum of a sequence of N consecutive integers is 2022, where N is greater than 2.

Determine all possible values of N, and the valid sequence for each value of N.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer solution

| Comment 2 of 3 |

clearvars

for N=3:800000

b=2022/N - (N-1)/2;

if b==round(b)

fprintf('%7d %d - %d\n',N,b,b+N-1);

end

finds

      3    673 - 675
      4    504 - 507
     12    163 - 174
    337   -162 - 174
   1011   -503 - 507
   1348   -672 - 675
   4044  -2021 - 2022

where each is N followed by the range.

Posted by Charlie on 2022-05-25 11:41:48

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