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Class 10 - Math - Arithmetic Progressions

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Arithmetic Progressions

Question 4:

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 Sx − 1 = S49Sx]

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