91Ó°ÊÓ

In \(19-30 :\) a. Write an algebraic expression that represents \(a_{n}\) for each sequence. b. Find the ninth term of each sequence. $$ 2,4,6,8, \dots $$

In \(19-30 :\) a. Write an algebraic expression that represents \(a_{n}\) for each sequence. b. Find the ninth term of each sequence. $$ 12,6,3,1.5, \dots $$

In a theater, there are 20 seats in the first row. Each row has 3 more seats than the row ahead of it. There are 35 rows in the theater. Find the total number of seats in the theater.

If you start a job for which you are paid \(\$ 1\) the first day, \(\$ 2\) the second day, \(, \$ 4\) the third day, and so on, how many days will it take you to become a millionaire?

In a theater, there are 20 seats in the first row. Each row has 3 more seats than the row ahead of it. There are 35 rows in the theater. a. Express the number of seats in the \(n\) th row of the theater in terms of \(n .\) b. Use sigma notation to represent the number of seats in the theater.

In \(31-39,\) write the first five terms of each sequence. $$ a_{1}=1, a_{n}=2 a_{n-1}+1 $$

If \(\$ 1,000\) was invested at 6\(\%\) annual interest at the beginning of 2001 , list the geometric sequence that is the value of the investment at the beginning of each year from 2001 to \(2010 .\)

Al invested \(\$ 3,000\) in a certificate of deposit that pays 5\(\%\) interest per year. What is the value of the investment at the end of each of the first four years?