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Show that `a_(1), a_(2), ….,a_(n),…` form an A.P where an is defined as below : (i) `a_(n) = 3 + 4n` (ii) `a_(n) = 9 - 5n`.
Also find the sum of the first 15 terms in each case.

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SUBHASH PUBLICATION-ARITHMETIC PROGRESSION-Exericise 1.3
  1. In an AP : given d = 5, S(9) = 75, find a and a(9).

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

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

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

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

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

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

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

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

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  10. Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...

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  11. Find the sum of first 51 terms of an A.P whose second and third terms ...

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  12. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...

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  13. Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...

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  14. Find the sum of the odd numbers between 0 and 50.

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  15. A contract on construction job specific a penalty for delay of complet...

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  16. A sum of Rs. 700 to be used to give seven cash prizes to students of a...

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  17. In a scholl students thought of planting trees in and around the schoo...

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  18. A spiral is made up of successive semicircles, with centres alternatel...

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  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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  20. In a potato race, a bucket is placed at the starting point, which is 5...

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