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Math Help - convergent and the limit

  1. #1
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    convergent and the limit

    consider \ the \ the \ sequence :
    x_1=a (a \in  R ) \ , \ x_{n+1}= \frac{1}{4}(1+x_n) , n \geq 1
    Determine when x_n is increasing or decreasing , then prove the convergence of x_n
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  2. #2
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    Aug 2008
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    true or not ???

    if a > \frac{1}{3} \ then \ x_n \ is \ decreasing
    if a < \frac{1}{3} \ then \ x_n \ is \ increasing
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