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Define $a \ \# \ b$ as the arithmetic mean of $a$ and $b$. What is the value of $((1\ \#\ 2)\ \#\ 3) \ \# \ 4$? Express your answer as a common fraction.

 Nov 15, 2014

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 #2
avatar+118723 
+5

Well I suppose

1#2=(1+2)/2=1.5

1.5#3=(1.5+3)/2=2.25

2.25#4=(2.25+4)/2=6.25/2=3.125 = 3 and 1/8

 Nov 16, 2014
 #1
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Someone please help me! I really need help.

 Nov 15, 2014
 #2
avatar+118723 
+5
Best Answer

Well I suppose

1#2=(1+2)/2=1.5

1.5#3=(1.5+3)/2=2.25

2.25#4=(2.25+4)/2=6.25/2=3.125 = 3 and 1/8

Melody Nov 16, 2014

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