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What is the the sum of the infinite geo...

What is the the sum of the infinite geometric series `1/4 - 3/(16) + 9/(64) - (27)/(256) + `…

A

(1/3)

B

(1/4)

C

(1/7)

D

none of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Find the sum of the series 1/4 - 3/(16) + 9/(64) - (27)/(256) + …

    A
    `1/3`
    B
    `1/4`
    C
    `1/7`
    D
    none of these

  • Find the sum of the infinite geometric series (1-1/3+1/3^(2)-1/3^(3)+...oo) .

    A
    `3/4`
    B
    `3/2`
    C
    `1/4`
    D
    `3`

  • The sum of the infinite series 1+4/3+9/3^2+(16)/3^3+…infty is

    A
    `4/2`
    B
    `9/2`
    C
    `4/9`
    D
    1

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    Sum of infinite terms of the series 1 + 4/7 + (9)/(7^2) + (16)/(7^3) + (25)/(7^4) +……, is

    The sum of the infinite series (1/3)^(2)+1/3(1/3)^(4)+1/5(1/3)^(6)+ . . . is

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