Math  A1 - A3                                                                                                   Homework  #3

                                             Due Thursday , January 22 , 2004


  1.  In each case prove that the sequence is bounded, or prove that it is not.

    i)  a₁ = 2 , and a_n = 10 + log₂( a_n-1 ) , for n > 2 .

    ii) a₁ = 1 , and a_n = a_n-1 + (n-1)/2n , for n > 2 .