Numeracy 4. Consider the following scenario. You are given a positive number Po. After one minute you are told to multiply this number by R, and the new number is to be called P1. One minute later, you multiply Pi by R and are to call the new number P2. This pattern continues forever, so that in the nth minute, we compute Pr by multiplying Pn-1 by R. 1. Give a general expression for Pn in terms of Po, R, and n, for any n E N. 2. Suppose in the above scenario that you replaced R by e", where e is Euler's number and r is a real number. After 10 minutes, you are told that Plo = 2021. Determine the value of r which makes this true if Po = 1000. 3. Suppose you are told that Po > 0 and r 0. In two sentences or less, justify your answer. (b) Suppose n, m are natural numbers with n > m. Is Pr > Pm, Pn = Pm, or Pn