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The first of an A.P is 5, the last term ...

The first of an A.P 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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CPC CAMBRIDGE PUBLICATION-ARITHMETIC PROGRESSIONS-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 : (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 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^(th) terms of an A.P is 4n-n^(2) , what is t...

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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 comple...

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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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