Infinite Sequences - Page 11

Questions
  • How do you find the first five terms given #a_1=3/4#, #a_(n+1)=(n^2+1)/n*a_n#?
  • If #a_0=7# and #a_(n+1)=a_n+12# for #n>=0#, how do you find the values of #a_5#?
  • How do you find the first three iterate of the function #f(x)=9x-2# for the given initial value #x_0=2#?
  • How do you find the first three iterate of the function #f(x)=4x-3# for the given initial value #x_0=2#?
  • This sequence converge or diverge 2/5,1/2,6/11,4/7,.....?
  • If the rate of inflation is 2%, the cost of an item in future years can be found by iterating the function #c(x)=1.02x#, how do you find the cost of a $70 portable stereo in four years if the rate of inflation remains constant?