Art of Problem Solving

2016 AMC 12B Problems/Problem 2: Difference between revisions

Mathmaster2012 (talk | contribs)
Created page with "==Problem== The harmonic mean of two numbers can be calculated as twice their product divided by their sum. The harmonic mean of <math>1</math> and <math>2016</math> is close..."
 
Mathmaster2012 (talk | contribs)
Line 12: Line 12:


==See Also==
==See Also==
{{AMC12 box|year=2016|ab=B|before=2|num-a=3}}
{{AMC12 box|year=2016|ab=A|num-b=1|num-a=3}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 10:38, 21 February 2016

Problem

The harmonic mean of two numbers can be calculated as twice their product divided by their sum. The harmonic mean of $1$ and $2016$ is closest to which integer?

$\textbf{(A)}\ 2 \qquad \textbf{(B)}\ 45 \qquad \textbf{(C)}\ 504 \qquad \textbf{(D)}\ 1008 \qquad \textbf{(E)}\ 2015$

Solution

See Also

2016 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing