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Thread: bounded monotone sequence and its limit

  1. #1
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    bounded monotone sequence and its limit

    Prove that the sequence is monotone and bounded, then find the limit:

    S1 = 1 and S(n+1) = 1/4(Sn + 5) for n is an element of N
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    Quote Originally Posted by luckyc1423 View Post
    Prove that the sequence is monotone and bounded, then find the limit:

    S1 = 1 and S(n+1) = 1/4(Sn + 5) for n is an element of N
    lim s_{n+1} = lim (1/4)(s_n+5)

    s=1/4(s+5)

    s=3/5
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