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If the sum of the first n terms of an A.P. is `4n-n^(2)` what is the first term? What is the sum of the first two terms? What is the second term? Find the 3rd, 10th, and the nth terms.

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The correct Answer is:
`=-2n+5`
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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?

If the sum of the first n^(th) terms of an A.P 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 3^(rd) , the 10^(th) and the n^(th) terms.

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ZEN PUBLICATION-ARITHMETIC PROGRESSIONS-TEXTUAL EXERCISE (Exercise 1.3)
  1. Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. ...

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

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  3. In an A.P: (i) Given a= 5, d=3, a(n) = 50, find n and S(n). (ii) G...

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

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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 terms of an A.P whose second and third terms are...

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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 A.P. is 4n-n^(2) what is the fir...

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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 school, students thought of planting trees in an 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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