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# a quick Functional Operations question :)

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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.

Jul 18, 2021

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I'm sure this is a trick question, but I guess I can try.

Order of operations first:

mean of 1 and 2 is

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

mean of 1.5 and 3 is

\((1.5+3)/2 =4.5/2 =2.25\)

mean of 2.25 and 4 is

\((2.25+4)/2 =6.25/2 =3.125\)

so the final answer is \(\fbox{3.125}\)

Jul 18, 2021
edited by PBJcatalinasandwich  Jul 18, 2021