Find House Number

A certain street has houses in a row, numbered 1, 2, 3, 4, … consecutively. There is a certain house on the street such that the sum of all the house numbers to the left side of it is equal to the sum of all the house numbers to its right. Find the number of this house.?,

Below run against forumala 2h2 = n(n+1)

  • h -> house number
  • n -> number of houses

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    Number of houses (n) House Number (h)
    8 6
    49 35
    288 204
    1681 1189
    9800 6930
    57,121 40,391
    332,928 235,416
    1,940,449 1,372,105
    ... ...
    11,309,768 79,97,214