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<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>
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