<?xml version="1.0" encoding="UTF-8"?>
<quiz>
 <!-- categoryid: 1816 -->
 <question type="category"><category><text>1MS.2 PROGRESSIONS ARITM I GEOM</text></category></question>
 
 <!-- resourceid-resourcedataid: 19960-16710 -->
 <question type="description">
    <name>
      <text>1MS.2.50DT  Progressió Geomètrica</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<div align="center"><br />
<table style="background-color: #ffffcc; background-image: url('http://lcmates.eu/none'); color: #000099; border-color: #003300; border-width: 4px; float: none; text-align: left; vertical-align: top; border-style: solid; width: 459px;" border="4" frame="void" rules="none">
<tbody>
<tr>
<td style="background-color: #003300; background-image: url('http://lcmates.eu/none'); color: #ff9900; text-align: center; vertical-align: middle; border-style: none; width: 100%; border-color: #003300; border-width: 1px;" valign="top"><span style="font-size: large; color: #ffff99;">Progressió geomètrica</span></td>
</tr>
<tr align="justify">
<td valign="top" width="NaNpx"><span style="color: #003300;"><strong><span style="font-size: small;">En una progressió geomètrica, cada terme es dedueix de l'anterior multiplicant per una quantitat fixa anomenada raó: </span></strong></span><br />
<div align="center"><span style="color: #003300;"><strong><span style="font-size: small;">a<sub>n</sub> = a<sub>n-1</sub> + d<br /><br /></span></strong></span>
<div align="justify"><span style="color: #003300;"><strong><span style="font-size: small;">El terme general és a<sub>n</sub> = a<sub>1</sub> · r<sup>n-1</sup></span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;">El producte dels n primers termes és: <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»P«/mi»«mi mathvariant=¨bold¨»n«/mi»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«msqrt mathcolor=¨#003300¨»«msup»«mfenced»«mrow»«msub»«mi mathvariant=¨bold¨»a«/mi»«mn mathvariant=¨bold¨»1«/mn»«/msub»«mo mathvariant=¨bold¨»§#183;«/mo»«msub»«mi mathvariant=¨bold¨»a«/mi»«mi mathvariant=¨bold¨»n«/mi»«/msub»«/mrow»«/mfenced»«mi mathvariant=¨bold¨»n«/mi»«/msup»«/msqrt»«/mrow»«/mstyle»«/math»</span></span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;">La suma dels n primers termes és: <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»S«/mi»«mi mathvariant=¨bold¨»n«/mi»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«msub»«mi mathvariant=¨bold¨»a«/mi»«mn mathvariant=¨bold¨»1«/mn»«/msub»«mo mathvariant=¨bold¨»(«/mo»«msup»«mi mathvariant=¨bold¨»r«/mi»«mi mathvariant=¨bold¨»n«/mi»«/msup»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»)«/mo»«/mrow»«mrow»«mi mathvariant=¨bold¨»r«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfrac»«/mrow»«/mstyle»«/math»</span></span></strong></span></div>
</div>
</td>
</tr>
</tbody>
</table>
</div>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>0.0000000</defaultgrade>
    <penalty>0.0000000</penalty>
    <hidden>0</hidden>
  </question>
 </quiz>
