+0  
 
+2
47
3
avatar+242 

State whether the sequence is an arithmetic sequence. If it is find the common difference, and graph the sequence. And find the equation of the sequence.

 

1.  -8, -4, 0, 4 ..........

 

2. 2, 4, 8, 16 ..........

 Dec 13, 2018
 #1
avatar+94526 
+2

The first is definitely arithmetic

 

The common difference between terms   is  4

 

The sequence can be expressed as

 

an+1 =  an + 4       where   a1 = - 8

 

I'm not used to finding an graph for these, but here's a possibilty

 

y = -8 + 4(x - !)   

 

y = -8 + 4x - 4

 

y = 4x - 12       

 

[ Where x is an integer...and  x = 1  gives the 1st term, -8, x = 2 gives the 2nd term, -4.....etc .]

 

 

Here's the graph :    https://www.desmos.com/calculator/pewqtw4vmg

 

 

 

The second is not arithmetic....the difference between 2 and 4  is 2......the difference between 8 and 4 is 4.......thus.....the common difference between terms is not constant as required in an arithmetic series

 

 

cool cool cool

 Dec 13, 2018
 #2
avatar+242 
+2

thank you Cphill

Nerd123  Dec 13, 2018
 #3
avatar+94526 
+1

No prob....!!!!

 

 

cool cool cool

CPhill  Dec 13, 2018

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