Hellgate Math Club Welcome

HELLGATE HIGH MATH CLUB

Math Club Content

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    The Hellgate Math Club meets Fridays at lunch in my room.  Some weeks we work on installments of one of the running contests that we are participating in (including the American Mathematics Competition, the Math League, and the TrigStar Contest), and other times we'll just discuss a single vexing problem (see below).  The club is open to any student, and does not require a weekly commitment- you'll get more out of the club the more often you come, but feel free to drop by whenever it's convenient for you to do so. 

    FROM THE 2012 AMERICAN MATHEMATICS COMPETITION:
    An iterative average of the numbers 1, 2, 3, 4, and 5 is computed in the following way.  Arrange the five numbers in some order.  Find the mean of the first two numbers, then find the mean of that with the third number, then the mean of that with the fourth number, and finally the mean of that with the fifth number.  What is the difference between the largest and smallest possible values that can be obtained using this procedure?