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Math Help - Prove that a series is convergent

  1. #1
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    Prove that a series is convergent

    ps; Zn = Z sub n


    suppose that { Z n } is a sequence satisfying Re Zn >=0, and that the two series
    1) sumation from (1 to infinity ) of Zn
    and
    2) sumation from (1 to infinity ) of |(Z^2n )| ---- where Z^2n is z power 2, then sub n
    are convergent series.
    prove that the series sumation from (1 to infinuty ) of (l Zn l )^2 is also convrgent

    any idea? really ...i started by saying that
    zn = xn +iyn
    summation of zn is convergent, then summation of (xn +iyn) is also convergent.... but then i got stuck...plz help
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  2. #2
    Super Member girdav's Avatar
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    It was already discussed here.
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