Sequences Part 1

A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7. What is the 10th term in the sequence?

• 65

• -511

• 257

• -127

• 17

3, 6, 12, 24, …

• Arithmetic

• Geometric

• Neither

35, 25, 15, 5, …

• Arithmetic

• Geometric

• Neither

 $\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},\ ...$  

• Arithmetic

• Geometric

• Neither

What sequence will match the following function

 $f\left(n\right)=f\left(n-1\right)+6$  

• 6, 12, 18, 24,...

• 2, 14, 98, 686,...

• 7, 4, 1, -2, -5,...

• 2, 4, 6, 8, 10, ...

• 160, 80, 40, 20, ...

What sequence will match the following function

 $f\left(n\right)=7\cdot f\left(n-1\right)$  

• 6, 12, 18, 24,...

• 2, 14, 98, 686,...

• 7, 4, 1, -2, -5,...

• 2, 4, 6, 8, 10, ...

• 160, 80, 40, 20, ...

What sequence will match the following function

 $f\left(n\right)=\frac{1}{2}\cdot f\left(n-1\right)$  

• 6, 12, 18, 24,...

• 2, 14, 98, 686,...

• 7, 4, 1, -2, -5,...

• 2, 4, 6, 8, 10, ...

• 160, 80, 40, 20, ...

Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither. 

 $30,\ 40,\ 50,\ 60,\ 70,\ ...$  

• Arithmetic

• Geometric

• Neither

 Use the first 5 terms of the sequence to define the sequence recursively using function notation.  $30,\ 40,\ 50,\ 60,\ 70,\ ...$  

•  $f\left(n\right)=f\left(n-1\right)\cdot2$  

•  $f\left(n\right)=\frac{1}{3}\cdot f\left(n-1\right)$  
  

•  $f\left(n\right)=10\cdot f\left(n\right)$  
  

•  $f\left(n\right)=f\left(n-1\right)+10$  

•  $f\left(n\right)=\left|n-1\right|\cdot6$  

Identify the common difference of the sequence below:

-2.3, -1.1, 0.1, 1.3,...

• -1.2

• 1.3

• 1.2

• -1.3

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2