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Find the sum of the following arithmetic...

Find the sum of the following arithmetic progression: `(x-y)/(x+y),(3x-2y)/(x+y),(5x-3y)/(x+y),\ ddotto\ n` terms.

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Find the sum of the following arithmetic progressions: (i) (x-y)/(x+y)\ ,(3x-2y)/(x+y),(5x-3y)/(x+y),\ dot to n terms (ii) -26 ,\ -24 ,\ -22 ,\ to 36 terms.

Find the sum of the following arithmetic progressions: (i) 41 ,\ 36 ,\ 31 ,\ dot to 12 terms (ii) a+b ,\ a-b ,\ a-3b ,\ to 22 terms (iii) (x-y)^2,\ (x^2+y^2),\ (x+y)^2,\ ddot, to n terms

Find the sum of n terms of the series (x+y)+(x^(2)+2y)+(x^(3)+3y)+...

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2

Find the following product and verify the result for x =-1, y=-2: (3x-5y)(x+y)

Simplify: (3x+2y)(4x+3y)-\ (2x-y)(7x-3y)

Find the sum of n terms of the series (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+...

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Simplify: (2x+3y)(3x+4y)-(7x+3y)(x+2y)

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the sum of the following arithmetic progression: 41,36,31,…….to 1...

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  2. Find the sum of the following arithmetic progression: a+b ,\ a-b ,\...

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  3. Find the sum of the following arithmetic progression: (x-y)/(x+y),(3x-...

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  4. Find the sum of the following series: 2+5+8+. . . .+182

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  5. Find the sum of the following series: 101+99+97+....+47

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  6. Find the sum of the following series: (a-b)^2+(a^2+b^2)+(a+b)^2+...+[(...

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  7. Find the sum of first n natural numbers.

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  8. Find the sum of all natural numbers between 1 and 100, which are divis...

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  9. Find the sum of the first n odd numbers

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  10. Find the sum of all odd numbers between 100 and 200.

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  11. Show that the sum of all odd integers between 1 and 1000 which are div...

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  12. Find the sum of all integers between 84 and 719, which are multiples o...

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  13. Find the sum of all integers between 50 and 500 which are divisible by...

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  14. Find the sum of all even integers between 101 and 999.

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  15. Find the sum of all integers between 100 and 550, which are divisible ...

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  16. Find the sum of the series : 3+5+7+6+9+12+9+13+17+\ to 3n terms.

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  17. Solve : 25+22+19+16+...+x=115

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  18. Solve: 1+4+7+10+...+x=590.

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  19. How many terms are there in the A.P. whose first and fifth terms are ...

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  20. The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is ...

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