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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 (Hint: S_(x-1)=S_(49)-S_(x))

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)

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EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-SHORT ANSWER (SA - II) TYPE QUESTIONS
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  3. The houses of a row are numbered from 1 to 49. Show that there is a va...

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  4. The 14th term of an A.P. is twice its 8th term. If its 6th term is -8,...

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  5. The digits of a positive integer, having three digits, are in A.P. and...

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  10. Justify whether it is true to say that the following are the nth terms...

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  13. The sum of the first 30 terms of an A.P. is 1920. if the fourth term i...

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  14. Which term of the sequence 20 ,\ \ 19 1/4,\ \ 18 1/2,\ \ 17 3/4,\ d...

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  15. Find the middle term of th e A.P. 7, 13, 19, … 247.

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  18. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

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  19. Show that the sum of an A.P. whose first term is a, the second term is...

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