Suppose that where a and b are real numbers. Show that for every positive integer n.

Lecture #1 8/22/2017 1 Prove that a number is rational if its decimal representation becomes periodic. (Repeated 0's is periodic. A rational number can be represented as a fraction which has an integer as a numerator and denominator. When dividing two integers x and y the denominator y will either have a remainder of 0 in which case the decimal...