<TestItem CLASS="ssmc" METHOD="list">
<Stem>
  <Paragraph>
   <Sentence>
     Let <italics>a</italics><sub>1</sub>, <italics>a</italics><sub>2</sub>, <italics>a</italics><sub>3</sub>, <Emphasis>...</Emphasis>, 
	<italics>a</italics><sub><italics>n</italics></sub>, <Emphasis>...</Emphasis> be a sequence of positive numbers, 
	where <italics>a</italics><sub>1</sub>=1, and <italics>a</italics><sub><italics>n</italics>+1</sub>= <italics>a</italics><sub><italics>n</italics></sub> + 4.
     </Sentence>
   </Paragraph>
   <Paragraph><Sentence>Which of the following represents the <italics>n</italics>th term
    in the sequence?</Sentence></Paragraph>
  </Stem>

<Distractor_list>
  <Distractor><Paragraph><Sentence> 4<italics>n</italics> - 3  </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> 4<italics>n</italics> - 1 </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> 4<italics>n</italics>     </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> 4<italics>n</italics> + 1 </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> 4<italics>n</italics> + 4 </Sentence></Paragraph></Distractor>
</Distractor_list>

<Key TYPE="SSMC">
  <response SCORE="1" EVIDENCEVAL="1">
    <observable>1</observable>
        <feedback TYPE="Student">Right!</feedback>
        <feedback TYPE="Teacher">The student got this item correct.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
    <observable>2</observable> 
        <feedback TYPE="Student">Sorry, that was incorrect. The sequence given in the problem started with 1 and had a common difference of 4. 
That sequence is: 1, 5, 9, 13 . . . A good approach to solving these kinds of problems is to 
generate the sequence and then test your rule against it. </feedback>
        <feedback TYPE="Teacher">The student probably didn't generate the sequence first.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
    <observable>3</observable> 
        <feedback TYPE="Student">Sorry, that was incorrect. The sequence given in the problem started with 1 and had a common difference of 4. 
That sequence is: 1, 5, 9, 13 . . . A good approach to solving these kinds of problems is to 
generate the sequence and then test your rule against it. </feedback>
        <feedback TYPE="Teacher">The student probably didn't generate the sequence first.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
    <observable>4</observable> 
        <feedback TYPE="Student">Sorry, that was incorrect. The sequence given in the problem started with 1 and had a common difference of 4. 
That sequence is: 1, 5, 9, 13 . . . A good approach to solving these kinds of problems is to 
generate the sequence and then test your rule against it. </feedback>
        <feedback TYPE="Teacher">The student probably didn't generate the sequence first.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
    <observable>5</observable> 
        <feedback TYPE="Student">Sorry, that was incorrect. The sequence given in the problem started with 1 and had a common difference of 4. 
That sequence is: 1, 5, 9, 13 . . . A good approach to solving these kinds of problems is to 
generate the sequence and then test your rule against it. </feedback>
        <feedback TYPE="Teacher">Could be that the + 4 is taken from the recursive rule in the problem.</feedback>
   </response>
</Key>

<Metadata>
   <AeL ItemNode="tExplicitRecursiveRuleArithmetic3a" Difficulty="3">
	<PMNode LINK="true">ExplicitArithmetic</PMNode>
	<PMNode>RecursiveRuleArithmetic</PMNode>
   </AeL>
</Metadata>

</TestItem>