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 (Hint: `S_[x-1]=S_[49]-S_x`)

Explanation

The number of houses is `1, 2, 3, ..., 49`



By observation, the numbers of houses are in an A.P.


Hence


First-term, `a = 1`
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