Assignment:
Q1. Individual membership fees at the evergreen tennis club were $50 in 1970 and have increased by $2 per year since then. Write a recurrence relation and initial conditions for mn , the membership fee n years after 1970
Q2. Prove by mathematical induction that 4(2n) +3 is a solution to the recurrence relation sn = 2sn-1 -3 for n ≥ 1 with the initial condition s0 = 7.
Provide complete and step by step solution for the question and show calculations and use formulas.