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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 first 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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OSWAAL PUBLICATION-ARITHMETIC PROGRESSIONS-TEXTBOOK CORNER EXERCISE 1.3
  1. Find the sum of the following APs : 2,7,12,…to 10^(th) terms.

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  2. Find the sums given below : (i) 7+10(1)/(2)+14+……..+84 (ii) 34+32...

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

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  4. How many terms of the AP:9,17,2…. Must be taken to give a sum of 636.

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

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

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

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  8. Find the sum of first 51 terms of an AP whose second and third term ar...

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

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

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

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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 the 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 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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