<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>1</TD>
	</TR>
	<TR>
		<TD>3</TD>
		<TD><Emphasis>A</Emphasis></TD>
	</TR>
	<TR>
		<TD><Emphasis>B</Emphasis></TD>
		<TD>64</TD>
	</TR>
	<TR>
		<TD>6</TD>
		<TD>1024</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>
  <Paragraph><Sentence>
  Hint: the term numbers are not listed consecutively.
  </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">16</observable>
        <observable ID="2" TYPE="Math">4</observable>
        <feedback TYPE="Student">Right!Excellent work.</feedback>
        <feedback TYPE="Teacher">The student was able to identify find missing, non-consecutive terms in a geometric sequence.</feedback>
    </response>

    <response SCORE="1" EVIDENCEVAL="1">
        <observable ID="1" TYPE="Math">16</observable>
        <observable ID="2" TYPE="Math">5</observable>
        <feedback TYPE="Student">Your answer for A is correct, but you did not correctly idenfity the value for B.</feedback>
        <feedback TYPE="Teacher">The student may have difficulty finding missing, non consecutive terms in a geometric sequence.</feedback>
    </response>

<response SCORE="1" EVIDENCEVAL="1">
        <observable ID="1" TYPE="Math">4</observable>
        <observable ID="2" TYPE="Math">4</observable>
        <feedback TYPE="Student">Your answer for B is correct, but you did not correctly idenfity the value for A.</feedback>
        <feedback TYPE="Teacher">The student may have difficulty finding missing, non consecutive terms in a geometric sequence.</feedback>
    </response>

<response SCORE="1" EVIDENCEVAL="1">
        <observable ID="1" TYPE="Math">2</observable>
        <observable ID="2" TYPE="Math">4</observable>
        <feedback TYPE="Student">Your answer for B is correct, but you did not correctly idenfity the value for A.</feedback>
        <feedback TYPE="Teacher">The student may have difficulty finding missing, non consecutive terms in a geometric sequence.</feedback>
    </response>

<response SCORE="1" EVIDENCEVAL="1">
        <observable ID="1" TYPE="Math">8</observable>
        <observable ID="2" TYPE="Math">4</observable>
        <feedback TYPE="Student">Your answer for B is correct, but you did not correctly idenfity the value for A.</feedback>
        <feedback TYPE="Teacher">The student may have difficulty finding missing, non consecutive terms in a geometric sequence.</feedback>
    </response>


    <response SCORE="0" EVIDENCEVAL="0">
        <feedback TYPE="Student">Sorry, that was incorrect.  In the table, we are given the value for the first term, 1,  and the sixth term, 1024.  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 there is a common ratio between successive terms.  Since 1 is the first term and 1024 is the sixth term, we need to multiply by the common ratio 5 times to get from 1 to 1024.  What number raised to the 5th power is equal to 1024?  The answer is 4, which is the common ratio of this sequence.  To get the third term, multiply the first term by the common ratio squared.  This is 1 times 16, or 16.  The next term given is 64.  64 divided by 16 is 4, which is the common ratio.  So 64 must be the term immediately following 16, which means it is the fourth term.  One empty cell in the table should be replaced with the value for the third term.  So A should be replaced with 16.  The other empty cell in the table should be replaced with the term number corresponding to 64.  So B should be replaced with 4.</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="tTableExtendGeometric3a" Difficulty="3">
        <PMNode LINK="true">TableGeometric</PMNode>
        <PMNode>ExtendGeometric</PMNode>
    </AeL>
</Metadata>
 
</TestItem>
