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Probably a geometric series question

  1. Jun 11, 2015 #1
    1. The problem statement, all variables and given/known data

    2^32 – (2 + 1) (2^2 – 1) (2^4+1) (2^8+1) (2^16+1)} is equal to
    2. Relevant equations


    3. The attempt at a solution
    Solved it by opening the bracket
    Answer: 2^31 + 2^24 + 2^ 18 - 2^7 + 2
    Option' are
    0
    1
    2
    2^16

    None of the options matched... Is there a mistake in question statement or my solution of the same?
     
  2. jcsd
  3. Jun 11, 2015 #2
    lol solved... there was an error in question statement:
    question was 2^32 – {(2 + 1) (2^2 + 1) (2^4+1) (2^8+1) (2^16+1)}
    (1+x) (1+x^2) = (x^4-1)/x-1
    using this iteration yields answer as 1
    thanks anyways :)
     
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