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The houses of a row are numbered consecu...

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.

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R G PUBLICATION-ARITHMETIC PROGRESSION-EXERCISE
  1. The sum of the third and the seventh terms of an AP is 6 and their pro...

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  2. A ladder has rungs 25 cm apart.(see Fig.)The rungs decrease uniformly ...

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  3. The houses of a row are numbered consecuitively from 1 to 49.Show that...

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  4. Define arithmetic Progression.

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  5. Find the nth term of 6,8,10,….

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  6. Write the common difference of an A.P.Whose nth term is an=3n+7

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  7. The first term of an AP.is 6 and the common difference is 2,then deter...

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  8. Find the 20th term from the last term of the AP:3,8,13,….253.

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  9. Find the value of x if 2x,x+10 and 3x+2 are in A.P.

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  10. If x,2x+p and 3x+6 are three consecutive terms of an A.P.then find the...

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  11. Find the sum of first n even natural numbers.

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  12. Find the sum of first twelve multiple of 7.

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  13. If the sum of n terms of an A.P is Sn=3n^2+5nthen find the Common diff...

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  14. If 4/5,a,2 are three consecutive terms of an A.P.then a= a)5/4 b)9/5...

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  15. The first term of an AP is a and its common difference is d then its 1...

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  16. Which term of the A.P.72,63,54,….is '0'? a)9th b)8th c)10th d)11t...

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  17. The first two terms of an AP are -5 and 6.Its 21st term will be a)215...

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  18. The next term of the AP sqrt2,sqrt8,sqrt18,….will be

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  19. The next term of the AP sqrt27,sqrt48,sqrt75,….will be

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  20. If the nth term of an AP is (3n+5) then its common difference is a)2 ...

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