Sequences and Series

An arithmetic sequence has a common ___________.

• Difference

• Ratio

Arithmetic Sequence: Identify the common difference in the arithmetic sequence:

100, 98, 96, 94, ...

• 2

• 4

• -2

• -8

Arithmetic Sequence: Study the arithmetic sequence and find the next 2 terms

 $2,\ \frac{5}{2},\ 3,\ \frac{7}{2},\ ...,\ ...$  

•  $4,\ \frac{9}{2}$  

•  $4,\ 5$  

•  $\frac{8}{2},\ \frac{10}{2}$  

Arithmetic Sequence: Find the 32nd term of this sequence with the following equation. (Hint: n= 32)
 $A_{N\ }=\ 34\ +\ \left(n-1\right)\left(3\right)$  

• 32

• 64

• 127

• 356

Arithmetic Series: The arithmetic sequence 28, 34, 40, 46, 52, ..., has 11 terms. First term a = 28 and the common difference is d = 6. Find the sum of the 11 terms (n=11). $S_n=\ \frac{n}{2}\left(2a+\left(n-1\right)\left(d\right)\right)$   

• 550

• 638

• 610

• 288

A geometric sequence has a common ___________.

• Difference

• Ratio

Geometric Sequence: The next term of the geometric sequence 2,4,8,16, __ is

• 64

• 32

• 108

• 20

Geometric Sequence: Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4

Geometric Series: Evaluate the geometric series with the following values. $a_1=3,\ \ \ r=5,\ \ \ n=7$  Use the formula

 $S_N=\frac{a\left(1-r^n\right)}{1-r}$  

•  $58,593$  

•  $52,120$  

•  $41,923$  

•  $54,646$  

How many reindeer pull Santa's sleigh? (Counting Rudolph)

• 9

• 10

• 8

• 6