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The first and the last terms of an A.P. ...

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

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VGS PUBLICATION-BRILLIANT-PROGRESSIONS-EXERCISE
  1. In an AP: (vi) Given a(n) = 4, d = 2, S(n) = -14, find n and a.

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

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  3. The first and the last terms of an A.P. are 17 and 350 respectively. I...

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

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

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  6. Show that a(1), a(2), …….., a(n)….. form an AP where a(n) is defined a...

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  7. Show that a(1), a(2), …….., a(n)….. form an AP where a(n) is defined a...

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  8. If the sum of the first n terms of an AP is 4n-n^(2) , what is the fir...

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  9. Find the sum of the first 40 positive intergers divisible by 6.

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

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  11. In a school, students thought of planting trees in an around the schoo...

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  12. A sprial is made up of successive semicircles, with centres alternatel...

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  13. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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  14. In a bucket and ball race, a bucket is placed at the starting point. W...

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  15. A runner starts from the bucket, picks up the nearest ball, runs back ...

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  16. Find which of the following are not G.P. (i) 6,12, 24, 48, ......

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  17. Find which of the following are not G.P. (ii) 1,4,9,16,.....

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  18. Find which of the following are not G.P. (iii) 1, -1, 1, -1,......

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  19. Find which of the following are not G.P. (iv) -4, -20, -100, -500,....

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  20. Explain why each of the lists above is a G.P. (i) 1, 4, 16, 64, 256,...

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