Let x=32^n. the index n is given a positive integral value at random. The probability that the value of x will have 3 in the units place is?
I have a recurrence: [math]X_n = X_{n-1} + 1 / (X_{n-1})[/math]. How do I get the value of n for which [math]X_n[/math] becomes at least [math]2*X_0[/math] where [math]X_0[/math] is a positive integer?