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Math Help - Confused with this problem?

  1. #1
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    Confused with this problem?

    Q: What is the a8 term of the sequence [an] if an equals
    a.) 2n - 1 ?
    b.) 7?
    c.) 1 + (-1)n ?
    d.) – (-2)n ?
    I am confused on what to do here?
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  2. #2
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    I cant' Edit, so I repost the problem:

    Q: What is the a8 term of the sequence [an] if [an] equals
    a.) 2^(n - 1) ?
    b.) 7?
    c.) 1 + (-1)^(n) ?
    d.) – (-2)^(n) ?
    I am confused on what to do here?
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  3. #3
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by Grillakis View Post

    Q: What is the a8 term of the sequence [an] if [an] equals
    a.) 2^(n - 1)
    b.) 7
    c.) 1 + (-1)^(n)
    d.) – (-2)^(n)

    I am confused on what to do here?
    ------------------------------------

    If a_n = 2^{n-1}


    Then Put n=8 to get n_8 = 2^{7}

    ----------------------------------

    If a_n= 7


    Then the complete sequence is 7 ,7, 7, 7 ,7 ,7...


    Hence a_8 = 7

    --------------------------------------

    If a_n= 1+(-1)^n


    Since (-1)^{even~number}=1


    Thus a_8=1 + {-1}^8 = 2

    ----------------------------------------------------
    If a_n = -(-2)^n


    Then a_8 = - (-2)^{8} = -(-1)^8\times (2)^8


    Thus a_8 = -(2)^8
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  4. #4
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    ok thanks....so all you do than really is whatever n is, you put that number in the equation. I see. Thanks.
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