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avatar+87 

Generalize the pattern by finding the nth term.

 

6, 10, 14, 18, 22

 Jun 4, 2019
 #1
avatar+6244 
+2

\(\text{Assuming $6$ is term #1}\\ s_n = 2+4n\)

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 Jun 4, 2019
 #2
avatar+9460 
+3
the__ 1st__ term__ =__ 6        
the 2nd term = 6 + 4        
the 3rd term = 6 + 4 + 4 = 6 + 4(2)__ =__ 6 + 4(3 - 1)
the 4th term = 6 + 4 + 4 + 4__ =__ 6 + 4(3) = 6 + 4(4 - 1)
                 
the nth term = 6 + 4(n - 1)        
 Jun 4, 2019

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