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If a geometic series converges which of ...

If a geometic series converges which of the following is true about its common ratio r?

A

`r>1`

B

- 1 < r < !`

C

-1 > r > 1`

D

`rgt0`

Text Solution

Verified by Experts

The correct Answer is:
A
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MBD PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Determine whether(tn) is an arithmetic sequence if: tn=an+b

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  2. Determine whether (tn) is an arithmetic sequence if: tn=an^2+b

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  3. If a geometic series converges which of the following is true about it...

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  4. If an arithmetic series sumtn converges, which of the following is tru...

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  5. Which of the following is an arithmetico geometric series ?

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  6. For an arithmetic sequence (tn)tp=q,tq=p,(pneq), find tn.

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  7. For an arithmetic series suman, Sp=qandSq=p(pneq)find S(p+q)

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  8. The sum of a geometric series is 3. the series of squares of its terms...

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  9. The sum of a geometric series is 14, and the series of cubes of its te...

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  10. Find the sum as directed.1+2a+3a^2+4a^3+.... (first n terms (ane1))

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  11. Find the sum as directed.1+(1+x)y+(1+x+x^2)y^2+... (to infinity)

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  12. Find the sum as directed.1+3/5+7/25+15/125+31/625+... (to infinity)

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  13. Find the sum as directed.1+4x+8x^2+13x^3+19x^4+... (to infinity) Assum...

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  14. Find the sum as directed.3.2+5.2^2+7.2^3+.... (first n terms)

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  15. Find the sum of the infinite series. 1/(1.2)+1/(2.3)+1/(3.4)+...

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  16. Find the sum of the infinite series.1/(1.2.3)+1/(2.3.4)+1/(3.4.5)+...

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  17. Find the sum of the infinite series.1/(2.5.8)+1/(5.8.11)+1/(8.11.14)+....

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  18. Find the sum of the infinite series.3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/...

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  19. Find the sum of the infinite series. 1/(1.5)+1/(3.7)+1/(5.9)+...

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  20. Find Sn for the series. 1.2 + 2.3 + 3.4 +…

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