*x_n indicates x sub n
*>= indicates greater than or equal to
Let x_1 >= 2 and x_(n+1) = 1+ sqrt(x_n - 1)
I can prove that x_n>=x_n+1 --> x_n+1 >= x_n+2 but when I try to do the base case (or what I think is the base case), I can't show x_1>=x>2:
Please help me show that x_1 >= x_2 for my base case.
Unless I am doing this completely wrong. This is my first induction problem using sequences, so I have no clue. Thanks!