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Show that `a_1,""""a_2,""""dot""dot""""dot,""a_n ,""dot""""dot""""dot` form an AP where `a_n` is defined as below : (i) `a_n=3+4n` (ii) `a_n=9-5n` Also find the sum of the first 15 terms in each case.

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MTG IIT JEE FOUNDATION-ARITHMETIC PROGRESSIONS -NCERT SECTION EXERCISE 5.3
  1. In an A.P: given a = 3 , n = 8 ,S= 192 ,find d .

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  2. In an A.P: given l = 28 , S= 144 , and there are total 9 terms . Fin...

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

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  4. The first term of an A.P. is 5 , the last term is 45 and the sum is 40...

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  5. The first and the last terms of an A.P. are 17 and 350 respectively .i...

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  6. Find the sum of first 22 terms of an A.P. in which d = 7 and 22^(nd) t...

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

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

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  9. Show that a1,""""a2,""""dot""dot""""dot,""an ,""dot""""dot""""dot form...

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  10. Show that a1,""""a2,""""dot""dot""""dot,""an ,""dot""""dot""""dot form...

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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 specifies a penalty for delay of com...

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

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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 ...

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

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