Quarter 1
Activity: Write answers on your answer sheet.
Performance Task #1
Show your solutions.

A. Find the specified [tex]$n^{th}$[/tex] term of each arithmetic sequence.
1. [tex]$2, 5, 8, \ldots ; 9^{th}$[/tex] term
2. [tex]$3, 57, \ldots ; 20^{th}$[/tex] term
3. [tex]$1, \frac{1}{2}, 0, \ldots ; 16^{th}$[/tex] term
4. [tex]$5, 11, 17, \ldots ; 9^{th}$[/tex] term
5. [tex]$26, 22, 18, \ldots ; 40^{th}$[/tex] term
6. [tex]$103^{rd}$[/tex] term of the arithmetic sequence if [tex]$a_1=-5$[/tex] and [tex]$d=-4$[/tex]
7. [tex]$19^{th}$[/tex] term of the arithmetic sequence if [tex]$a_1=25$[/tex] and [tex]$d=-2$[/tex]
8. [tex]$25^{th}$[/tex] term of the arithmetic sequence if [tex]$a_1=\frac{1}{2}$[/tex] and [tex]$d=-\frac{3}{8}$[/tex]

B. Solve what is asked.
1. In the sequence [tex]$2, 6, 10, \ldots$[/tex]; find [tex]$n$[/tex] if the [tex]$n^{th}$[/tex] term is 102.
2. In the sequence [tex]$3, \frac{7}{3}, \frac{5}{3}, \ldots$[/tex]; find [tex]$n$[/tex] if the [tex]$n^{th}$[/tex] term is -27.
3. Find the [tex]$15^{th}$[/tex] term of the sequence if [tex]$a_0=5$[/tex] and [tex]$a_{21}=-60$[/tex].
4. Find the [tex]$5^{th}$[/tex] term of the sequence if [tex]$a_{15}=29$[/tex] and [tex]$a_{27}=47$[/tex].
5. If [tex]$a_1=-4, a_{25}=-100$[/tex], what is the value of [tex]$a_{100}$[/tex]?