<OTCompoundDoc local_id="title"> <bodyText> <div class="leftpanel"> <img src="http://udl.concord.org/share/udl-tree-only.png" width="70" height="73" /> <br /> <div class="activity-title">UDL Math</div> </div> </bodyText> </OTCompoundDoc>
Pretest

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What is 1+1? 1 2 3 What is 2x2? 2 4 8

3 x 3 =

Activity one

Since it doesn't look like you're very good at math, we're going to start from the beginning.

Please count out loud: 1 ... 2 ... 3 ... 4 ... 5 Good job! You're a real mathematician!

Now let's get on to more interesting stuff...

  1. The sum Sn of the first n terms of the sequence a1, a2, ... of positive real numbers satisfies the equation an + (1/an) = 2Sn for n = 1, 2,... Find a formula for the general term an .

  2. Let P be a point on the bisector of an angle BAC . Let l be any line passing though P . Assume that l intersects the rays AB and AC and X and Y , respectively. Show the quantity 1/( AX ) and 1/( AY ) does not depend on the choice of l .
    Activity 1