Question:

Find an integer greater than 4 where the sum of x consecutive integers is divisible by x?

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Find an integer, x, greater than 4 where the sum of x consecutive integers is divisible by x

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  1. I think this is true for any value of 'x' greater than 4.

    In fact it is true for any positive integer.

    Sum of 'x' consecutive integers will be divisible by 'x'


  2. 5 - The sum of 1+2+3+4+5 (15) is divisible by 5.  Is this what your question is asking?

    This works for any ODD integer.

  3. What do you mean "the sum of x consecutive integers"?

    (x+0) + (x+1) + ... + (2x-1) ?

    1 + 2 + ... + x  ?  

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