11.1-11.2 Sequence and Series Review

Write the first five terms of sequence,  $a_n=4n-1$  

• -1, 3, 7, 11, 15

• -5, -1, 3, 7, 11

• 3, 7, 11, 15, 19

• 4, 8, 12, 16, 20

Write the first five terms of the sequence, $a_n=\frac{n^2}{5}$   

•  $\frac{1}{5},\ \frac{2}{5,}\ \frac{3}{5},\ \frac{4}{5},\ 1$  

•  $\frac{1}{5},\ \frac{4}{5},\ \frac{9}{5},\ \frac{16}{5},\ 5$  

•  $\frac{1}{5},\ \frac{2}{5},\ \frac{4}{5},\ \frac{8}{5},\ \frac{16}{5}$  

•  $\frac{1}{5},\ \frac{2}{25},\ \frac{3}{125},\ \frac{4}{625},\ \frac{5}{3125}$  

Write the first 5 terms of the sequence, $a_n=n\left(n+2\right)$   

• 3, 8, 15, 24, 35

• 3, 5, 7, 9, 11

• 3, 6, 12, 24, 48

• 3, 9, 27, 81, 243

3, 6, 9, 12, 15

Is the sequence arithmetic?

• Yes, you are adding 3 each time.

• Yes, you are multiplying by 2 each time.

• No, you are not adding the same number each time.

2, 5, 9, 14, 20

Is the sequence arithmetic?

• Yes, you are adding between each term.

• No, you are not adding the same number each time.

Determine the next term 1, 8, 27, 64,...

• 118

• 125

• 156

• 225

Determine the next term. $\frac{1}{9},\frac{4}{9},\frac{9}{9},\frac{16}{9},...$  

•  $\frac{49}{9}$  

•  $\frac{36}{9}$  

•  $\frac{25}{9}$  

•  $\frac{20}{9}$  

 Determine the next term. $\frac{2}{5},\frac{3}{7},\frac{4}{9},\frac{5}{11},...$ 

•  $\frac{6}{15}$  

•  $\frac{6}{13}$  

•  $\frac{5}{13}$  

•  $\frac{5}{15}$  

Determine the rule for the following sequence.

6, 12, 18, 24,...

• $a_n=n+6$

• $a_n=6n$

• $a_n=6n-6$

• $a_n=2n-6$

Write a rule for the following sequence.

 $\frac{1}{7},\frac{3}{8},\frac{5}{9},\frac{7}{10},...$   

•  $a_n=\frac{n+2}{n+6}$  

•  $a_n=\frac{n+2}{n+7}$  

•  $a_n=\frac{2n}{n+6}$  

•  $a_n=\frac{2n-1}{n+6}$