Geometric patterns

Arithmetic patterns (increasing and decreasing and using integers)
Evaluate variable expressions for number sequences


Write an expression to describe the sequence below
geometric or arithmetic or neither or both?
100


10 100  1 000     ______    

What is 10 000?

100

100, 101, 102, 103 ________        

What is 104?

100

4^n                            

What is 4 16    64  256




What is 4 16    64  256

100

Use n to represent the position of a term in the sequence, where n = 1 for the first term.



2, 4, 6, 8                        

      What is 2n?

100

1, 12, 22, 31                  

 What is neither?

200

1 2 4 8  ________

    What is 16?

200

67, 70, 73 ____ 79          

 What is 76?

200

Find the first 4 terms of the sequence defined below, starting with n=1


2(2)^n                            

    What is  4 8 16 32

200

Use n to represent the position of a term in the sequence, where n = 1 for the first term.


8, 9, 10, 11    


                  What is n +7?

200

7, 19, 31, 43                  

What is arithmetic?

300


9    27    81   _________    

    What is 243?

300


-83,  - 72, - 61  ____ - 39        

 What is -50?

300

Find the first 4 terms of the sequence defined below, starting with n=1

 

-3n +  4                        

 What is  1, -2, -5, - 8

300

 Use n to represent the position of a term in the sequence, where n = 1 for the first term.

-99, -98, -97,-96  


                          What is n - 100?

300

4, 24, 144, 864              

 What is geometric?

400


7    28    ______   448        

What is 112?

400

____ -89, -73, ____, -41          

 What is      -105, -57

400

Find the first 4 terms of the sequence defined below, starting with n=0


  

3^n + 7                        

 What is 8   10  16   34

400

Use n to represent the position of a term in the sequence, where n = 1 for the first term.

1, 8, 27, 64      


             What is n^3?

400


What is the difference between a geometric   and an arithmetic pattern?        

Arithmetic has the same difference either increasing or decreasing each time. Geometric multiplies each term by the same number.    



500

37  333    ______   11 988                  

 What is 2 997?

500


7, ____, 45, ____, 83              

What is 26, 64

500

Find the first 4 terms of the sequence defined below, starting with n=  -2


7n x 4                                                                     

What is -56 -28 0 28

500

36, 36, 36, 36                

What is both?