18:24 Done W6 Homework.pdf 1 of 1 CS381, Spring 2016 Week 6 Homework 1. List the first five terms of each sequence, starting with ao. (1) a) a 3n n2 b) a1(3n + 1) 2. Write a (non-recurrent) formula for any sequence beginning with: (1) a) 1, 3,7, 13, b) 0, 0, 2, 6, 12 3. Show a closed solution for each recurrence equation: (1) a) anan2 ao 1 4. Suppose that a person has a savings account with a balance of $50,000. At the end of each year, the account will earn 4% interest, and will then pay the owner $4,000. (1) a) Show the balance of the account at the end of each of the first five years (rounded to the nearest dollar). b) Show a recurrence equation for the balance of the account. c) Find a closed form equation for the future balance of the account. (Hint: this equation will include a summation, ? 1.04") 5. Compute the value of each summation. (1) a) (j 21)