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In which of the following situations, do...

In which of the following situations, does the list of numbers involved make arithmetic progression, and why ?
The amount of air present in a cylinder when a vacuum pump removes `(1)/(4)` of the air remaining in the cylinder at a time.

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SUBHASH PUBLICATION-ARITHMETIC PROGRESSION-Exericise 1.3
  1. In which of the following situations, does the list of numbers involve...

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  2. Find the sum of the following APs : 2,7,12,…to 10^(th) terms.

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  3. Find the sum of the following APs : -37, -33, -29,… to 12 terms.

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  4. Find the sum of the following APs : 0.6, 1.7, 2.8, …, to 100 terms

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  5. Find the sum of the following APs : (1)/(15), (1)/(12), (1)/(10),..,...

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  6. Find the sums given below : 7 + 10(1)/(2) + 14 +….+84.

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  7. Find the sums given below : 34+32+30 +… + 10

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  8. Find the sums given below : -5 + (-8) + (-11) +…+(-230).

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  9. In an AP : given a = 5, d = 3, a(n) = 50, find n and S(n).

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  10. In an AP : given a = 7, a(13) = 35, find d and S(13).

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  11. In an AP : given a(12) = 37, d = 3, find a and S(12).

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  12. In an AP : given a(3) = 15, S(10) = 125, find d and a(10).

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  13. In an AP : given d = 5, S(9) = 75, find a and a(9).

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  14. In an AP : given a = 2, d = 8, S(n) = 90, find a and a(n).

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  15. In an AP : given a = 8, a(n) = 62, S(n) = 210, find n and d.

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  16. In an AP : given a(n) = 4, d = 2, S(n) = -14, find n and a.

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  17. In an AP : given a = 3, n = 8, S(n) = 192, find d.

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  18. In an AP : given l = 28, s = 144 and there are total 9 terms find a...

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  19. How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...

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  20. The first of an A.P is 5, the last term is 45 and the sum is 400. Find...

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  21. The first and the last terms of an A.P are 17 and 350 respectively. If...

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