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    ​Find the value of given expression:0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\text{Find the value of given expression:} \\\frac
    Question

    Find the value of given expression:0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\text{Find the value of given expression:} \\\frac{0.5}{0.5} + \frac{0.5}{(0.5)^2} + \frac{0.375}{(0.5)^3} + \frac{0.25}{(0.5)^4}

    A.

    0.1

    B.

    4

    C.

    10

    D.

    1

    Correct option is C

    Given:

    The expression:

    0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\frac{0.5}{0.5} + \frac{0.5}{(0.5)^2} + \frac{0.375}{(0.5)^3} + \frac{0.25}{(0.5)^4}

    Solution:

    0.50.5+0.50.25+0.3750.125+0.250.0625\frac{0.5}{0.5} + \frac{0.5}{0.25} + \frac{0.375}{0.125} + \frac{0.25}{0.0625}​​

    = 1 + 2 + 3 + 4 = 10

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