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Find the general (n^(th)) term for the f...

Find the general `(n^(th))` term for the following geometric sequences : 27,9,3,1,…..

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Here, `a_1 = 27` and r= `1,3` then `a_n=27(1/3)^(n-1) = 3^3 3^1(1/3)^n=81(1/3)^n`
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MAHAVEER PUBLICATION-SERIES-QUESTION BANK
  1. Insert 5 arithmetic mean between 13 and -11.

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  2. Find the general (n^(th)) term for the following geometric sequences :...

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  3. Find the general (n^(th)) term for the following geometric sequences :...

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  4. Find the general (n^(th)) term for the following geometric sequences :...

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  5. Find the 10^(th) term in the series 2,4,8,16,…..

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  6. Find the following sums First 5 terms of -6+18-54+…..

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  7. Find the following sums 5+10+20+40+…..+2560

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  8. Find the following sums -2+4-8+16-…..

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  9. Find the following sums 24+12+6+3+3/2+3/4+…..

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  10. Find the sum of the first 8 terms of the series 2,6,18,54.

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  11. How much is going to taxes? Suppose that we track a tax refund of $ 10...

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  12. Insert two geometric means between 2 and 1024.

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  13. If A.M. and GM. of two positive numbers a and b are 10 and 8, respe...

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  14. The 12^(th) term and 15^(th) term of an AP are 68 and 86 respectively....

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  15. Find the sum: 3+7+11+…..+79.

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  16. Find k if 2k+1,k,3k+2 are in GP.

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  17. Find8^(th) term of the GP 1,4,16,…..

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  18. If x,y,z are in GP, then prove that logx,logy,logz are in AP.

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  19. If 3^(rd) term of an arithmetic progression is and term is 18 and 17^(...

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  20. The sum of the series 3+33+333+....+n terms is

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