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The sum of the series sum(r=0)^(10) .^(2...

The sum of the series `sum_(r=0)^(10) .^(20)C_(r)` , is `2^(19)+{(.^(20)C_(10))/2}`.

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Knowledge Check

  • sum_(r=0)^(n).^(n)C_(r)4^(r)=..........

    A
    `4^(n)`
    B
    `5^(n)`
    C
    `5^(-n)`
    D
    `4^(-n_`

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