I need help i have a math test tomorrow morning

Question

Ashley invested 3000 in an account that pays 5 percent interest compounded Weekly. Write a recursive formula that represents the amount of money Ashley has in the account n years after his initial investment. 

When Chelsea began to train with Peter, she could run a 5k in 20:30. She was able to shave exactly 30 seconds every month. Write a recursive sequence to represent her race time in n months after starting the training program. (Convert seconds to decimal)

Answer 1

Question 1. one dollar invested at 5% annuall compounded weekly will be worth

(1+(1/52)I) in two weeks it will be Worth (1+i/52)^2 in a year it will be worth (1+i/52)^52.

in n years it will be worth (1+i/52)^52n. i/52 =(1.05125(^n)

For 2, Current time is 20.5 minutes Every month reduces T by .5 minutes or Time = 20.5 -.5*(months trained). In 41 months she will be travelling at the speed of light