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Math Help - Find 10th term

  1. #1
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    Find 10th term

    nb
    Last edited by oceanmd; December 13th 2007 at 04:54 AM.
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by oceanmd View Post
    Problem 1
    Find the 10th term of the sequence 7,14,28,.....
    10th term = 3584

    Problem 2
    Find the sum given a (first)=3, r=-3/2; n=5
    Sum = 55/16
    Problem 1

    r = 2 ; a = 7

    T_{n} = ar^{n - 1}


    T_{10} = (7)(2)^{10 - 1}

    = (7)(2^9)

    = 3584


    ---


    Problem 2

    S_{n} = \frac{ a( 1 - r^n ) }{ 1 - r }

    S_{5} = \frac{ 3( 1 - (-1,5)^5 ) }{ 1 - (-1,5) }

    S_{5} = \frac{165}{16}
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