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Find the sum of the following series: (a...

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

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the sum of the following series: 2+5+8+. . . .+182

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

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

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  4. Find the sum of first n natural numbers.

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

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  6. Find the sum of the first n odd numbers

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

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

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

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

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

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

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

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

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

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

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

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  18. The third term of an A.P. is 7 and the seventh term exceeds three time...

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  19. The first term of an A.P.is 2 and the last term is 50. the sum of all ...

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  20. The number of terms of an A.P. is even, the sum of odd terms is 24, of...

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