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The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.

 

What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?

 

  • an=4n+4
  • an=−4n+4
  • an=4n−4
  • an=−4n−4
 Feb 7, 2018
 #1
avatar+128090 
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Note the  pattern

 

8, 12, 16, 20........  =

 

4(2), 4(3), 4(4), 4(5)......  =

 

4 + 4, 4 + 4 + 4, 4 + 4 + 4 + 4, 4 + 4 + 4 + 4 + 4......  =

 

4(1) + 4, 4(2) + 4, 4(3) + 4, 4(4) + 4

 

So.......the explicit rule is

 

an  = 4n + 4

 

 

cool cool cool

 Feb 7, 2018

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