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Function question

  1. Apr 21, 2010 #1
    1. The problem statement, all variables and given/known data

    If F(1) = 2 and F(n) = F(n-1) + 1/2 for all integers n > 1, then F(101) = ?


    2. Relevant equations



    3. The attempt at a solution

    F(101) = F(101-1) + 1/2 = 100 1/2

    I know I'm missing something huge here because the answer in the book was 51. :-/ Thanks for your help.
     
  2. jcsd
  3. Apr 21, 2010 #2

    Mark44

    Staff: Mentor

    Yes, you are missing something huge.
    F(101) = F(101-1) + 1/2 = F(100) + 1/2, not 100 + 1/2.

    Start by calculating F(2), F(3), and a few more to see if you can get an idea of what's happening here.
     
  4. Apr 21, 2010 #3
    What is F(2)? F(3)? maybe you'll see a pattern... I would get 52 in the end though, are you sure it's not F(1)=1?
     
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