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Math Help - Alternating Series

  1. #1
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    Alternating Series

    These problems are in the alternating series section of my calc book but they are not necessarily alternating. How would you figure out if they converge, converge absolutely or diverge and what test would you use?

    problem 1
    n=1 to infinity
    a(sub)1=5 a(sub)n+1= ((n to the nth root)/2) a(sub)n

    problem 2

    n=1 to inifinity (-1)^n+1 (ln n/n)
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  2. #2
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    Quote Originally Posted by TAG16 View Post
    problem 1
    n=1 to infinity
    a(sub)1=5 a(sub)n+1= ((n to the nth root)/2) a(sub)n
    Sorry to tell you but that means next to nothing.
    Is it a_{n + 1}  = \frac{{\sqrt[n]{n}}}<br />
{2}\left( {a_n } \right)?
    If not, what in the world is it?
    Please try again!
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  3. #3
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    yes that is exactly what it means. Sorry, I don't know how to make it look like the actual problem like many people do on here.
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