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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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PSEB-ARITHMETIC PROGRESSIONS -EXERCISE
  1. Find the sum of first 22 terms of an AP in which d=7 and 22nd term is ...

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

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

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

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

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

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

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

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

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  10. A contract on construction job specifies a penalty for delay of comple...

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

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  12. In a school, student thought of planting trees in and around the schoo...

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

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  14. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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

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  16. Which term of the A.P. 121, 117, 113, ... is its first negative term ?

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  17. The sum of the third and the seventh term of an A.P. is 6 and their pr...

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  18. A ladder has rungs 25 cm apart (see fig.) The rungs decrease uniformly...

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  19. The houses of a row are numbered consecutively from 1 to 49. Show that...

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  20. A small terrace at a football ground comprises of 15step each of which...

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