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If the sum of the first n terms of an AP...

If the sum of the first n terms of an AP is `4n - n^2`, what is the first term (that is `S_1`.) ? What is the sum of two terms ? What is the second term ? Similarly, find the 3rd, the 10th and the nth terms.

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The correct Answer is:
`5-2n`
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SWAN PUBLICATION-ARITHMETIC PROGRESSIONS-Exercise 5.3
  1. In an AP :- given a = 3, n = 8, S = 192, find d.

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  2. In an AP :- given l = 28, S = 144, and there are total 9 terms. Find ...

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  3. How many terms of the A.P : 9, 17, 25... must be taken to give a sum o...

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  4. The first term of an AP is 5, the last term is 45 and the sum is 400. ...

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  5. The first and last terms of an AP are 17 and 350 respectively. If the ...

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  6. Find the sum of first 22 terms of an AP in which d=7 and 22nd term is ...

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  7. Find the sum of first 51 terms of an AP whose second and third terms a...

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  8. If the sum of first 7 terms of an AP is 49 and that of 17, terms is 28...

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  9. Show that a1,a2,….an,…form an AP where an is defined as below,- an=3+4...

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  10. Show that a1,a2,….an,…form an AP where an is defined as below,- an=9-5...

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  11. If the sum of the first n terms of an AP is 4n - n^2, what is the firs...

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  12. Find the sum of the first 40 positive integers divisible by 6.

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

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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 specifies a penalty for delay of comple...

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  16. A sum of $ 700 is to be used to give seven cash prizes to students of ...

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  17. In a school, student 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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