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Find the sum of the following series : ...

Find the sum of the following series :
`1+1/3+1/9+ . . .+(1)/(3^(10))`

Text Solution

Verified by Experts

The correct Answer is:
`S_(11)=3/2(1-3^(-11))`
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CENGAGE-PROGRESSIONS -TEST YOURSELF (Level 2)
  1. Find the 8th term of the series -1//3,1//2,-3//4, . . .

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  2. Find the 5th and 8th terms of the series 3,6,12, . . .

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  3. Find the 10th and 16th terms of the series 256,128, 64, . . .

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  4. Which one of the following is in HP ? 1,1/4,1/7,1/10

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  5. Which one of the following is in HP ? 1/3,1/6,1/12,1/24

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  6. Which one of the following is in HP ? 2,1/2,1/7,1/5

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  7. Write the nth term and the term indicated against each case : 1/a,(1...

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  8. Write the nth term and the term indicated against each case : 4/7,12...

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  9. Write the nth term and the term indicated against each case : 2,1 3/...

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  10. Find the nth term and the term indicated against each sequences : s...

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  11. Find the nth term and the term indicated against each sequences : 0...

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  12. Find the nth term and the term indicated against each sequences : 4...

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  13. Find the nth term and the term indicated against each sequences : 1...

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  14. Find the first term and the number of terms in a GP is the third, fift...

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  15. Find the first term and the number of terms in a GP if the fourth, sev...

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  16. How mterms of the series 2+4+8 . . . make the sum 1022 ?

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  17. Find the sum of the following series : 1+sqrt(3)+3+ . . . to 10 term...

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  18. Find the sum of the following series : 1-4+14 . . . to 12 terms

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  19. Find the sum of the following series : 0.6+0.06+0.006+ . . . to 16 ...

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  20. Find the sum of the following series : 1+1/3+1/9+ . . .+(1)/(3^(10))

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