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Sum of infinite terms of series 3 + 5. 1...

Sum of infinite terms of series `3 + 5. 1/4 + 7. 1/4^2 + .... ` is

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FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3.4.5).....

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Knowledge Check

  • Sum of 25 terms of the series 1 . 3+2 . 5+3 . 7+.. , is

    A
    11370
    B
    11374
    C
    11372
    D
    11375
  • Sum of infinite terms of the series 1 + 4/7 + (9)/(7^2) + (16)/(7^3) + (25)/(7^4) +……, is

    A
    `27//14`
    B
    `21//13`
    C
    `49//27`
    D
    `256//147`
  • Sum of infinite terms of the series cot^(-1) ( 1^(2) + 3/4) + cot^(-1) ( 2^(2) + 3/4) + cot^(-1) ( 3^(2) + 3/4) + ... is

    A
    ` pi//4`
    B
    `tan^(-1)2`
    C
    `tan^(-1) 3`
    D
    `tan^(-1) 4`
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    The sum of infinite terms of the series 5 - 7/3 + (9)/(3 ^(2)) - (11)/( 3 ^(3))+……..o is

    The sum of infinite terms of the series 5 - 7/3 + (9)/(3 ^(2)) - (11)/( 3 ^(3))+……..o is

    Find the sum to n terms of the following series : 3+5xx 1/4+7xx1/4^2 + .....

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