Question

what is the maximum possible value of 4026 can be written as a sum of consecutive positive integers​

Answer 1

Answer: 4026 is the sum of the 61 consecutive integers 3+4+5+… +63. If k is even, then the average is a half-integral of , so that k must be one of 2, 6, 22, 66 … 4026; but it must again, be 63.5, so that we get no new maximum solutions that way. Soooooooo yes I can be written as a sum of consecutive positive integers​

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