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How many terms of the series 54,51, 48,....

How many terms of the series 54,51, 48,.. be taken so that their sum is 513? Explain the double answer

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

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  2. Find the sum of all odd integers between 2 and 100 divisible by 3

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  3. How many terms of the series 54,51, 48,.. be taken so that their sum i...

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  4. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

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  5. The sum of n, 2n, 3n terms of an A.P. are S1, S2, S3 respectively. Pro...

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  6. The sums of n terms of three arithmetical progressions are S1, S2and ...

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  7. If the sum of first m terms of an A.P. is the same as the sum of its f...

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  8. The ratio of the sums of m and n terms of an A.P. is m^2: n^2 .Sho...

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  9. A manufacturer of TV sets produced 600 sets in the third year and 700 ...

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  10. A contract on construction job specifies a penalty for delay of com...

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  11. A sum of Rs 280 is to be used to award four prizes. If each prize a...

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  12. In a school students thought of planting trees in and around the sc...

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  13. 200 logs are stacked in the following manner: 20 logs in the bottom ...

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  14. The digits of a positive integer, having three digits, are in A.P. and...

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  15. A man repays a loan of R s .3250 by paying R s .20 in the first month ...

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  16. The houses of a row are numbered consecutively from 1 to 49. Show that...

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  17. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease un...

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  18. A small terrace at a football ground comprises of 15 steps each of ...

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  19. A spiral is made up of successive semicircles, with centres alterna...

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  20. In a potato race, a bucket is placed at the starting point, which is ...

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