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Homework Help: Let {an}n>= 1

  1. Mar 10, 2010 #1
    1. The problem statement, all variables and given/known data
    If x is a real number, we de fine [x] as being the largest integer <= x. For example, [1.2] = 1,
    [-1.1] = -2, [1] = 1, [11/3]3 = 3, . . .
    Let {an}n>=1 be the numerical sequence de fined by:
    a1 = 3; and an = a[n/2], for n>=2

    (a) Give the terms a1; a2; ... ; a8 of this sequence.
    (b) Prove that an = 3; For all n>=  1


    2. Relevant equations



    3. The attempt at a solution

    I'm not sure what induction has to do with this... I don't really get it.
     
  2. jcsd
  3. Mar 10, 2010 #2

    Mark44

    Staff: Mentor

    Re: Induction

    Write out a few terms of the sequence to get a feel for what it's doing.
    a1 = 3, a2 = ?, a3 = ?, a4 = ? And so on, through a8. That's part a.
     
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