<TestItem CLASS="FR" METHOD="keyinput">
<Stimulus TYPE="text">
  <TABLE>
	<TR>
		<TD class="underLine"><Emphasis>Term Number</Emphasis></TD>
		<TD class="underLine"><Emphasis>Term Value</Emphasis></TD>
	</TR>
	<TR>

		<TD>1</TD>
		<TD><Inlineimg SRC="images/OneHalf.gif" ALTTEXT="" /></TD>
	</TR>
	<TR>
		<TD>2</TD>
		<TD><Inlineimg SRC="images/OneEighth.gif" ALTTEXT="" /></TD>
		
	</TR>
	<TR>	<TD>3</TD>
		<TD><Emphasis>A</Emphasis></TD>
	</TR>
	<TR>
		<TD>4</TD>
		<TD><Emphasis>B</Emphasis></TD>
	</TR>
  </TABLE>
</Stimulus>

<Stem>
  <Paragraph><Sentence>
  The numbers in the table represent terms in a geometric sequence. Complete the table by filling in the values for A and B.


    </Sentence></Paragraph>
	
</Stem>

<input_collection>
  <inputfield ID="1" type="limited" size="shortest">Enter the value for <Emphasis>A:</Emphasis></inputfield>
  <inputfield ID="2" type="limited" size="shortest">Enter the value for <Emphasis>B:</Emphasis></inputfield>
</input_collection>

<key TYPE="Compound">

<response SCORE="1" EVIDENCEVAL="1">
        <observable ID="1" TYPE="Math">1/32</observable>
        <observable ID="2" TYPE="Math">1/128</observable>
        <feedback TYPE="Student">Right!</feedback>
        <feedback TYPE="Teacher">The student correctly generated the next two terms in a geometric sequence with fraction terms, when the sequence was presented in tabular format.</feedback>
    </response>

<response SCORE="0" EVIDENCEVAL="0">
        <observable ID="1" TYPE="Math">5</observable>
        <observable ID="2" TYPE="Math">6</observable>
        <feedback TYPE="Student">Sorry, that's incorrect. You may have misread the question.</feedback>
        <feedback TYPE="Teacher">The student did not correctly generate the next two terms in a geometric sequence, when the sequence was presented in tabular format. It is possible the student confused term number with term value.</feedback>
    </response>

<response SCORE="0" EVIDENCEVAL="0">
        <observable ID="1" TYPE="Math">-1/4</observable>
        <observable ID="2" TYPE="Math">-5/8</observable>
        <feedback TYPE="Student">Sorry, that's incorrect. The first two terms in the sequence are from a geometric sequence, not from an arithmetic sequence. </feedback>
        <feedback TYPE="Teacher">The student did not correctly generate the next two terms in a geometric sequence with fraction terms, when the sequence was presented in tabular format. It is possible the student confused the definition for a geometric sequence with the definition for an arithmetic sequence.</feedback>
    </response>

<response SCORE="0" EVIDENCEVAL="0">
        <observable ID="1" TYPE="Math">1/16</observable>
        <observable ID="2" TYPE="Math">1/128</observable>
        <feedback TYPE="Student">Sorry, that's incorrect. You may have been multiplying adjacent terms, instead of multiplying each term by the common ratio, 1/4.</feedback>
        <feedback TYPE="Teacher">The student did not correctly generate the next two terms in a geometric sequence with fraction terms, when the sequence was presented in tabular format. The student may have multiplied adjacent terms.</feedback>
    </response>

<response SCORE="0" EVIDENCEVAL="0">
        <observable ID="1" TYPE="Math">5/8</observable>
        <observable ID="2" TYPE="Math">3/4</observable>
        <feedback TYPE="Student">Sorry, that's incorrect. You may have been adding adjacent terms, instead of multiplying each term by the common ratio, 1/4.</feedback>
        <feedback TYPE="Teacher">The student did not correctly generate the next two terms in a geometric sequence with fraction terms, when the sequence was presented in tabular format. The student may have added adjacent terms.</feedback>
    </response>

    <response SCORE="0" EVIDENCEVAL="0">
        <feedback TYPE="Student">Sorry, that was incorrect.  In the table, we are given the first two terms of the sequence, 1/2 and 1/8.  This information alone is not enough to fill out the table, but we are also told that the terms are from a geometric sequence.  This means that the common ratio must be equal to the second term divided by the first term.  1/8 divided by 1/2 is equal to 1/8 times 2, which is 2/8 or 1/4.  So the common ratio of this sequence is 1/4.  To get the third term, multiply the second term by the common ratio.  This is 1/8 times 1/4, or 1/32.  To get the fourth term, multiply the third term by the common ratio.  This is 1/32 times 1/4, or 1/128.  The empty cells in the table should be replaced with the values for the third and fourth terms, so A should be replaced with 1/32 and B should be replaced with 1/128. </feedback>
        <feedback TYPE="Teacher">The student got this item incorrect, but it is not clear why.</feedback>
        <observable ANY="true"/>
    </response>
    
</key>	
<Metadata>
    <AeL ItemNode="tTableExtendGeometric2a" Difficulty="2">
        <PMNode LINK="true">TableGeometric</PMNode>
        <PMNode>ExtendGeometric</PMNode>
    </AeL>
</Metadata>
 
</TestItem>
