31. The houses in a row are numbered consecutively from 1 to 49 . Show that there exists a value of X such that the sum of numbers of houses proceeding the house numbered X is equal to sum of the number of houses following X

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Q. The houses in a row are numbered consecutively from

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Q. The houses of a row are numbered consecutively from 1 to

49 .

Show that there is a valueof

x

such that the sum of the numbers of the houses preceding the house numbered

x

isequal to the sum of the numbers of the houses following it. Find this value of

x .

The houses of a row are number consecutively from 1 to 49. Show that there is a value of x such that the sum of numbers of the houses preceding the house numbered x is equal to the sum of the number of houses following it.

Find this value of x.

[Hint S_x_{− 1}= S₄₉ − S_x]

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