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What is the value of y in the arithmetic sequence y + 6, 12, 3y?

 Oct 26, 2022
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What is the value of y in the arithmetic sequence y + 6, 12, 3y?   

 

Set it up with the interval in an equality.       (12) – (y + 6)  =  (3y) – (12) 

 

                                                                         12 – y – 6  =  3y – 12 

 

Let's put all the "Y"s on one side and  

all the numbers on the other side                                 18  =  4y  

 

Swap sides because I like the unknowns 

to be on the left.  No other reason.                                4y  =  18  

 

Divide both sides by 4                                                     y  =  18/4 

                                                                                        y  =  4.5  

 

Check answer:   (y + 6) , 12 , 3y  

                          (4.5 + 6)  ,  12  ,  (3 • 4.5)  

                           10.5  ,  [add 1.5]  12  ,  [add 1.5] 13.5  

                           looks good  

 Oct 26, 2022

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