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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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Given that, ` (x – y)/(x + y), (3x – 2y)/(x + y), (5x – 3y)/(x + y), …` to n terms
Here `n = n`
The first term, `a = a_1 = (x - y)/(x + y) `
Common difference, `d = a_2 – a_1 = (3x – 2y)/(x + y) – (x-y)/(x + y)`
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  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+.... +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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