Week Four – Applications Assignment1) Suppose you deposit $10,000 into an account earning 3.5% interestcompounded quarterly. After n quarters the balance in the account is given by the formula: 10000(1+.035/4)a)Each quarter can be viewed as a term of a sequence. List the first 5 terms.n

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

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

2) An object with negligible air resistance is dropped from the top of the Willis Tower in Chicago at a height of 1451 feet. During the first second of fall, the object falls 16 feet; during the second second, it falls 48 feet; during the third second, it falls 80 feet; during the fourth second, it falls 112 feet. Assuming this pattern continues, how many feet does the object fall in the first 7 seconds after it is dropped?