Suppose you deposit $10,000 into an account earning 3.5% interest

compounded quarterly. After n quarters the balance in the account is given
by the formula:



a) Each quarter can be viewed as a term of a sequence. List the first 5 terms.

b) Identify the type of sequence this is. Explain.

c) Find the balance in the account after 30 quarters.

1 answer

b = 10000 [1 + (.035/4)]^n

a) calculate

b) geometric
... the ratio (r) of any two consecutive terms is a constant
... r = 1 + .035/4

c) calculate