Consider the recursive rule un = 0.75un-1 + 210.
a. What is the long-run value of any shifted geometric sequence that is generated by this recursive rule?
b. Sketch the graph of a sequence that is generated by this recursive rule and has a starting value
i. Below the long-run value
ii. Above the long-run value
iii. At the long-run value
c. Write a short paragraph describing how the long-run value and starting value of each shifted geometric sequence in 4b influence the appearance of the graph.