<TestItem CLASS="FR" METHOD="keyinput">
<Stem>
	<Paragraph><Sentence>Find the common ratio for the following geometric sequence:</Sentence></Paragraph>
	<Paragraph><Sentence><Blockquote>0.32, 0.16, 0.08, 0.04, 0.02, <Emphasis>. . .</Emphasis></Blockquote></Sentence></Paragraph>
</Stem>
<input_collection>
	<inputfield type="inline" size="shortest">Enter your answer here: </inputfield>
</input_collection>
<key TYPE="math" >
    <response  SCORE="1" EVIDENCEVAL="1">
        <observable>0.5</observable>
        <feedback TYPE="Student">Right!</feedback>
        <feedback TYPE="Teacher">The student got this item correct.</feedback>
    </response>

<response  SCORE="1" EVIDENCEVAL="1">
        <observable>-0.16</observable>
        <feedback TYPE="Student">Sorry, that's incorrect.  Perhaps you calculated the second term minus the first term. But for this geometric sequence, the difference between successive terms is not the same. For example, 0.16 minus 0.32 is -0.16, but 0.08 minus 0.16 is -0.08. The ratio between successive terms is the same, however.</feedback>
        <feedback TYPE="Teacher">The student probably confused the common ratio of a geometric sequence with the common difference of an arithemetic sequence.</feedback>
    </response>

<response  SCORE="1" EVIDENCEVAL="1">
        <observable>-0.02</observable>
        <feedback TYPE="Student">Sorry, that's incorrect.  Perhaps you calculated the fifth term minus the fourth term. But for this geometric sequence, the difference between successive terms is not the same. For example, 0.16 minus 0.32 is -0.16, but 0.08 minus 0.16 is -0.08. The ratio between successive terms is the same, however.</feedback>
        <feedback TYPE="Teacher">The student probably confused the common ratio of a geometric sequence with the common difference of an arithemetic sequence.</feedback>
    </response>

    <response SCORE="0" EVIDENCEVAL="0">
        <observable ANY="true"/>
        <feedback TYPE="Student">Sorry, that was incorrect.</feedback>
        <feedback TYPE="Teacher">The student got this item incorrect, but it is not clear why.</feedback>
    </response>
</key>	
<Metadata>
    <AeL ItemNode="tCommonRatio3a" Difficulty="3">
        <PMNode LINK="true">CommonRatio</PMNode>
    </AeL>
</Metadata>

</TestItem>
