IA: 2.1 Arithmetic Sequences

IA: 2.1 Arithmetic Sequences

Multiple Choice

1, 3, 5, 8, ...

• yes, d = 2

• yes, d = -4

• yes, d = 3

• no

Multiple Choice

-5, -8, -11, -14, ...

• yes; d = 2

• yes; d = -3

• yes; d = 3

• no

Multiple Choice

7, 6, 5, 4, ...

• yes; d= -1

• yes; d = -3

• yes; d = 1

• no

Multiple Choice

5, 2, -1, -4, _____, ______, ______, ...

• -1, 2, 5

• -7, -10, -13

• -6, -8, -10

• -7, -10, -12

Multiple Choice

-8, -2, 4, 10, _____, ______, _____,

• 16, 21, 28

• 16, 22, 27

• 16, 22, 28

• 15, 22, 28

Multiple Choice

30, 26, 22, 18, ...

Find the explicit formula and the 19th term.

• $a_n=-4n+34\$ and $a_{19}=-42$

• $a_n=4n+34$ and $a_{19}=42$

Multiple Choice

-2, 0, 2, 4, ...

Find the explicit formula and the 19th term.

• $a_n=-2n-4$ and $a_{19}=35$

• $a_n=2n-4$ and $a_{19}=34$

Multiple Choice

101, 92, 83, 74, ...

• $a_n=9n+110$ and $a_{19}=61$

• $a_n=-9n+110$ and $a_{19}=-61$

Multiple Choice

-1, -4, -7, -10, ...

• $a_1=-1$
  $a_n=a_{\left(n-1\right)}+-3$
  

• $a_1=-10$
  $a_n=a_{\left(n-1\right)}+3$
  

• $a_1=-3$
  $a_n=a_{\left(n-1\right)}+-1$
  

Multiple Choice

7, 13, 19, 25, ...

• $a_1=6$
  $a_n=a_{\left(n-1\right)}+7$
  

• $a_1=7$
  $a_n=a_{\left(n-1\right)}+7$
  

• $a_1=7$
  $a_n=a_{\left(n-1\right)}+6$
  

Multiple Choice

 $a_1=-13$  

 $a_n=a_{\left(n-1\right)}+2$  
What are the first five terms?

• -11, -9, -7, -5, -3

• -13, -11, -9, -7, -5

• -11, -9, -5, -3, -1

• -13, -15, -17, -19, -21

Multiple Choice

 $a_1=-2$  
 $a_n=a_{\left(n-1\right)}-3$  

Find the next 5 terms. 

• -2, 1, 4, 7, 10

• -2, -3, -4, -5, -6

• -2, -5, -10, -15, -20

• -2, -5, -8, -11, -14

Multiple Choice

 $g\left(n\right)=21-17\left(n-1\right)$  

What is the leading term and recursive formula?

•  $g\left(1\right)=21$  
   $g\left(n\right)=g\left(n-1\right)+-17$  
  

•  $g\left(1\right)=-17$  
   $g\left(n\right)=g\left(n-1\right)+21$  
  

Multiple Choice

 $g\left(n\right)=-9+12n$  
What is the first term and recursive formula?

•  $f\left(1\right)=12$  
   $f\left(n\right)=f\left(n-1\right)+3$  
  

•  $f\left(1\right)=3$  
   $f\left(n\right)=f\left(n-1\right)+12$  
  

Multiple Choice

 $g\left(1\right)=51$  
 $g\left(n\right)=g\left(n-1\right)+3$  
What is the explicit formula?

•  $a_n=3n+48$  

•  $a_n=3n+51$  

Open Ended

Do you have any questions on this lesson?