Math 2602  A1 - A3                                                                                Homework  #3
                                             Due Thursday, September 8, 2005


   Let  a_n be the sequence for which  a₁ =  1 , and  a_n =  a_n-1 + n - 2 , for  n > 2.

  PROVE OR DISPROVE

  i)   a_n is even for all sufficiently large n.

  ii)   a_n > n for all sufficiently large n.

  iii)  a_n > n² for all sufficiently large n.