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Math Help - sequence

  1. #1
    Junior Member
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    sequence

    Here is the problem:

    Define a sequence c_k by the rules
    c_0 = 2
    c_1 = 3
    c_k = 0.8c_{k-1} - 0.7c_{k-2}

    Compute c_2 through c_6


    Anyway, I really struggle with these? Where do I start? What process do I go through? Can someone please walk me through this one problem?

    Thanks
    Last edited by CaptainBlack; April 11th 2009 at 10:12 PM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by relyt View Post
    Here is the problem:

    Define a sequence c_k by the rules
    c_0 = 2
    c_1 = 3
    c_k = 0.8 c_k-1 - 0.7 c_k-2

    Compute c_2 through c_6

    Those k - 1 and k-2 should be subscripts

    Anyway, I really struggle with these? Where do I start? What process do I go through? Can someone please walk me through this one problem?

    Thanks
    just plug in the values in the c_k formula

    example, to find c_2, plug in k = 2, you get

    c_2 = 0.8c_1 - 0.7c_0 = 0.8(3) - 0.7(2) = 1

    now find the rest the same way
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by relyt View Post
    Here is the problem:

    Define a sequence c_k by the rules
    c_0 = 2
    c_1 = 3
    c_k = 0.8c_{k-1} - 0.7c_{k-2}

    Compute c_2 through c_6


    Anyway, I really struggle with these? Where do I start? What process do I go through? Can someone please walk me through this one problem?

    Thanks
    You start by calculating with k=2:

    c_2=0.8c_1-0.7c_0=0.8\times 3 - 0.7 \times 2=1

    Now you know c_0,\ c_1,\ c_2 proceed to calculate c_3, and continue from there.

    CB
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  4. #4
    Junior Member
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    Got it...thank you. That was a lot easier than I thought
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