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Show that the sum of all odd integers be...

Show that the sum of all odd integers between and 1000 which are divisible by 3 is 83667.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the sum of first n odd natural numbers.

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  2. Find the sum of all odd numbers between (i) 0 and 50 (ii) 100 and 2...

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  3. Show that the sum of all odd integers between and 1000 which are divis...

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

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  5. Find the sum of all integers between 0 and 500 which are divisible by ...

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

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

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  8. In an A.P., if the first term is 22, the common difference is -4 an...

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  9. In an A.P., if the 5t h and 12 t h terms are 30 and 65 respectiv...

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  10. Find the sum of the first 11 terms of the A.P.: 2,\ 6,\ 10 ,\ 14 ,\...

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  11. Find the sum of the first 13 terms of the A.P: -6,\ 0,\ 6,\ 12 , ......

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  12. Find the sum of the first 51 terms of the A.P.: whose second term i...

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  13. Find the sum of the first 15 multiples of 8.

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  14. Find the sum of the first 40 positive integers divisible by (a) 3  ...

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  15. Find the sum of all 3 – digit natural numbers, which are divisible ...

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  16. Find the sum of all 3 – digit natural numbers, which are multiples ...

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  17. Find the sum: 2+4+6+\ .... +200 (ii) 3+11+19+\ ..... +803 (iii) (-...

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  18. Find the sum: (i) 1+3+5+7+\ ....\ +\ 199 (ii) 7+10 1/2+14+\ .... ...

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  19. Find the sum: 25+28+31+\ dot\ +100 (ii) 18+15 1/2+13+\ dot+\ (-49 ...

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  20. Find the sum of the first 15 terms of each of the following sequence...

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