Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it.

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Edzy · Accepted Answer

In an arithmetic progression, it is always possible to find a value of x such that the sum of the numbers of the houses preceding x is equal to the sum of the numbers of the houses following it. This is because the sum of terms equidistant from the middle term is always equal.

Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it.

Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it.

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