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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 (remember the first term is `S_(1)`)? What is the sum of first two terms? What is the second term? Similarly, find the `3^(rd)`, the `10^(th)` and the `n^(th)` terms.

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VGS PUBLICATION-BRILLIANT-PROGRESSIONS-EXERCISE
  1. Show that a(1), a(2), …….., a(n)….. form an AP where a(n) is defined a...

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

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

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

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

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

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

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  8. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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

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

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

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

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

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

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

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  16. Explain why each of the lists above is a G.P. (ii) 550, 605, 665.5, ...

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  17. Explain why each of the lists above is a G.P. (iii) 256, 128, 64,32,...

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  18. Explain why each of the lists above is a G.P. (iv) 18, 16.2, 14.58, ...

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  19. To know about a G.P. What is minimum information that we need?

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  20. Write the G.P. If the first term a=3, and the common ratio r= 2.

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