1.The first two terms of a geometric sequence are 2 and 3. Find the third term and the fourth term. Do not round answers.

Third term-

Fourth term-

2.The first term of a geometric sequence is 2, the common ratio is 3. Find

a)The 10^thterm.

b)The sum of the first 10 terms.

3.Given that the first term of a geometric sequence is 100, and the common ratio is 1.4, find the 25^thterm. Round answer to two digits after the decimal point.

4.Given that the first term of a geometric sequence is 8, and the common ratio is 1.5, find the sum of the first 29terms. Round answer to two digits after the decimal point.

5.Given that the 9^thterm of a geometric sequence is 100, and the common ratio is 0.5, find the 5^thterm.

6.Suppose a savings account pays 6% annual interest. $500 is deposited into the account. Find the balance in the account after 3 years if interest is compounded

a) Annually.

b) Semiannually.

c) Quarterly.

d) Monthly.

e) Daily (assume 365 days in a year).

Round answers to two digits after the decimal point.

7.How much needs to be invested today in order to have $5,000 in 9 years at an annual rate of 9% with interest compounded quarterly. Round answer to two digits after the decimal point.

8.Ami bought a house 4 years ago for $200,000. Today the house is worth $314,947. Estimate the annual rate of increase of the value of the house using the formulaA=P(1+i)nA=P(1+i)n. Round answer a percent to a whole number (for example, if the answer is 9.21345%, enter 9 as your answer).

9.Suppose an account pays 11.12% annual interest rate with interest compounded daily. Find its APY. Round answer as a percent to two digits after the decimal point (for example, if the answer is 12.66666%, enter 12.67 as your answer).