Consider the following situations that generate a sequence.

a. Write out the first five terms of the sequence.

b. Find an explicit formula for the terms of the sequence.

c. Find a recurrence relation that generates the sequence.

d. Using a calculator or a graphing utility, estimate the limit of the sequence or state that it does not exist.

The Consumer Price Index (the CPI is a measure of the U.S. cost of living) is given a base value of 100 in the year 1984. Assume the CPI has increased by an average of 3% per year since 1984. Let c_n be the CPI n years after 1984, where c₀ = 100.