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The houses of a row are numbered from 1 to 49. 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

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The houses of a row are numbered consecutively from 1 to 49. 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. Find this value of x.

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The houses of a row are numbered consecuitively from 1 to 49.Show that there is avalue 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.Find the value of x.

The house of a row are numbered consecutively form 1 to 49. Show that there is a value of x such that the sum of the numbers of the house preceding the house numbered x is equal to the sum of the numbers of the houses following it. And find this value of x. [ Hint: S_(x-1) = S_(49)-S_(x) ] 11

The houses of a row are numbered consecutively 45 cm from 1 to 49. 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. And find this value of x. [Hint: S_(x-1) = S_(49) -S_(x)]