<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.  
     The first four terms of the sequence are given below.
     </Sentence>
   </Paragraph>
   <Paragraph><Sentence><blockquote> 1.38, 1.42, 1.46, 1.50,<emphasis> ...</emphasis>
     </blockquote></Sentence></Paragraph>
  <Paragraph>
   <Sentence>
     Select the correct rule for finding the (<italics>n</italics>+1)th term from the <italics>n</italics>th term.
     </Sentence>
   </Paragraph>
  </Stem>

<Distractor_list>
  <Distractor><Paragraph><Sentence> <italics>a</italics><sub><italics>n</italics>+1</sub> = 0.04<italics>a</italics><sub><italics>n</italics></sub> + 1.38 </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> <italics>a</italics><sub><italics>n</italics>+1</sub> = <italics>a</italics><sub><italics>n</italics></sub> + 0.04 </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> <italics>a</italics><sub><italics>n</italics>+1</sub> = 0.04<italics>a</italics><sub><italics>n</italics></sub> </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> <italics>a</italics><sub><italics>n</italics>+1</sub> = <italics>a</italics><sub><italics>n</italics></sub> + 1.38 </Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence> <italics>a</italics><sub><italics>n</italics>+1</sub> = <italics>a</italics><sub><italics>n</italics></sub> - 0.04  </Sentence></Paragraph></Distractor>
</Distractor_list>

<Key TYPE="SSMC">
  <response SCORE="1" EVIDENCEVAL="1">
    <observable>2</observable>
      <feedback TYPE="Student">Right!</feedback>
      <feedback TYPE="Teacher">The student got this item correct.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
      <observable>1</observable>
      <feedback TYPE="Student">Sorry, that was incorrect. 
                               You needed to add 0.04 (the common difference) 
                               to the nth term to get the (n+1)th term. 
                               To check your answer, apply the rule to two consecutive terms.
                               </feedback>
      <feedback TYPE="Teacher">The student did not get this item right.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
      <observable>3</observable>
      <feedback TYPE="Student">Sorry, that was incorrect.
                               Instead of multiplying the nth term by 0.04, you needed to add 0.04 to it. 
                               To check your answer, apply the rule to two consecutive terms.
                               </feedback>
      <feedback TYPE="Teacher">The student did not get this item right.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
      <observable>4</observable>
      <feedback TYPE="Student">Sorry, that was incorrect. 
                               Instead of adding 1.38 to the nth term, you needed to add 0.04 to it. 
                               To check your answer, apply the rule to two consecutive terms.
                               </feedback>
      <feedback TYPE="Teacher">The student did not get this item right.</feedback>
   </response>
  <response SCORE="0" EVIDENCEVAL="0">
      <observable>5</observable>
      <feedback TYPE="Student">Sorry, that was incorrect. 
                               You needed to add 0.04 instead of subtracting 0.04 from the nth term
                               because it's an increasing sequence. 
                               To check your answer, apply the rule to two consecutive terms.
                               </feedback>
      <feedback TYPE="Teacher">The student did not get this item right.</feedback>
   </response>
</Key>

<Metadata>
   <AeL ItemNode="tRecursiveRuleArithmetic3a" Difficulty="3">
	<PMNode LINK="true">RecursiveRuleArithmetic</PMNode>
   </AeL>
</Metadata>

</TestItem>