Q136. Write out the difference equation that represents the following scenario and the first five terms of the corresponding sequence given the stated starting value.
- Membership in a club goes up by 4 people each year. At year one it has 21 members.
- A community's population increases by 4% each year. At year one it is 350.
- A swimming pool, currently containing 100,000 gallons of water, is leaking at the rate of 2% per day but is being filled at the rate of 1,000 gallons per day.
- A retirement account which stands at $120,000 earns 3% interest annually. The owner needs to withdraw $1500 per month to pay for eldercare.
For each of these, graph Pn vs. time.
For each of these, graph Pn+1 vs. Pn