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Math Help - Sequence and Series

  1. #1
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    Sequence and Series

    Hey i just joined here.
    am stuck on this question:

    A sequence A(n) is defined by A(n)= (n+4)/2n
    a.)Prove that the sequence is bounded below by 1/2
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  2. #2
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    Re: Sequence and Series

    Quote Originally Posted by shadn View Post
    Hey i just joined here.
    am stuck on this question:

    A sequence A(n) is defined by A(n)= (n+4)/2n
    a.)Prove that the sequence is bounded below by 1/2
    You can prove this by induction.
    A(1)=\frac{1+4}{2\cdot 1}=\frac{5}{2}
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  3. #3
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    Re: Sequence and Series

    Quote Originally Posted by shadn View Post
    Hey i just joined here.
    am stuck on this question:

    A sequence A(n) is defined by A(n)= (n+4)/2n
    a.)Prove that the sequence is bounded below by 1/2
    A(n)==(n+4)/2n = (1/2)+2/n
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    Re: Sequence and Series

    Could you explain...
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  5. #5
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    Re: Sequence and Series

    n is a positive integer so !/2 + 4/n is always greater than 1/2 but increasing n makes it closer and closer to 1/2
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  6. #6
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    Re: Sequence and Series

    n is a positive integer so 1/2+2/n is always greater than 1/2 but gets closer and closer to 1/2 as n increases
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  7. #7
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    Re: Sequence and Series

    hey thanks man-got it
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