ind a solution to the following recurrence relation and initial condition.< n-1 40 .a. Suppose the number of bacteria in a colony quadruples every hour. Set up a recurrence relation for the numb...
1. a. Suppose the number of bacteria in a colony quadruples every hour. Set up a recurrence relation for the number of bacteria in the colony at the end of n hours. b. Find an explicit formula for the number of bacteria remaining in the colony after n hours. c. If 80 bacteria form a new colony, how many will be in the colony after three hours?
Discrete Math 1: Please explain and prove each step with clear handwriting, and write every detail so that I can understand for future problems. This is discrete math one so please do not make it very complicated. PLEASE MAKE THE HANDWRITING AND THE STEPS CLEAR AND ORGANIZED Problem 2 (4 pts.): Solve the following recurrence relations together with the initial conditions. (a): an-2an-l + 3an-2 with ao = 2 and al = 4. (b): bn =-bn-l + 12bn-2 with bo...