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The first term of an AP is 5, the last t...

The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

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The correct Answer is:
the number of terms is and 16 common difference is `8/3`
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KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-EXERCISE 5.3
  1. In an AP : Given an=4 , d = 2 , S(n)=-14 , find n and a .

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

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  3. In an AP : Given l = 28 , S(n) = 144 , and there are total 9 terms...

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  4. How many terms of the AP , 9 , 17 , 25 .......must be taken to give a ...

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

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

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

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

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  9. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289...

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  10. Show that a(1),a(2),......a(n),.... from an AP where an is defined a...

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

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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 multiple 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 Rs 700 is to be used to give seven cash prizes to students of...

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  17. In a, school , students thought of planting trees in and around the sc...

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

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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 ...

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