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         <title><![CDATA[PROGRESII]]></title>
        <description><![CDATA[Progresiile aritmetice şi geometrice sunt şiruri de numere reale, definite prin recurenţe &nbsp;liniare, ale căror proprietăţi &icirc;şi găsesc o mulţime de aplicaţii teoretice şi practice &icirc;n toate disciplinele matematice.&nbsp;]]></description>
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        <lastBuildDate>Wed, 05 Oct 2011 20:31:40 +0300</lastBuildDate>
        <pubDate>Wed, 05 Oct 2011 20:31:40 +0300</pubDate>
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									<item>
					<title><![CDATA[TEORIE]]></title>
					<description><![CDATA[Progresii aritmetice:$latex Sirul##;{(a_n)},##;unde##;{n}##geq{1},$ se numeste progresie aritmetica de ratie r si se noteaza $latex ##frac{.}{.}(a_n),##;daca##;a_{n+1}={a_n}+r,##;##forall{n}##in{##mathbb{N}}^{*}.$Se disting formulele: $latex a_n=##frac{a_{n-1}+a_{n+1}}{2},##;##forall{n}##geq{2};$...]]></description>
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					<pubDate>Wed, 11 May 2011 16:14:00 +0300</pubDate>
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					<title><![CDATA[EXEMPLUL 1]]></title>
					<description><![CDATA[Suport teoretic:Progresie aritmetica, sistem neliniar.Enunt: Sa se gaseasca&nbsp; numerele x, y, z in progresie aritmetica, astfel incat:x + y + z = 9 si xy + yz + zx = - 73. Raspuns: x = - 7, y = 3, z = 13, sau x = 13, y = 3 si z = - 7. ]]></description>
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					<pubDate>Sat, 14 Aug 2010 10:42:00 +0300</pubDate>
									</item>
							<item>
					<title><![CDATA[EXEMPLUL 2]]></title>
					<description><![CDATA[Suport teoretic:Progresie geometrica, formule remarcabile, sistem de ecuatii neliniare, ecuatie reciproca.Enunt:&nbsp;Sa se afle cinci numere pozitive in progresie geometrica, stiind ca al treilea termen este egal cu 3, iar suma lor este 23,25.Raspuns:$latex ##frac{..}{..}##frac{3}{4},##frac{3}{2...]]></description>
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					<pubDate>Fri, 17 Sep 2010 11:48:00 +0300</pubDate>
									</item>
							<item>
					<title><![CDATA[EXEMPLUL 3]]></title>
					<description><![CDATA[Suport teoretic:Progresii geometrice, sisteme de ecuatii neliniare, ecuatii reciproce.Enunt:Sa se afle 5 numere reale in progresie geometrica, stiind ca suma termenilor de rang impar este 21/4, iar suma celorlalti este 5/2.Raspuns:1/4;1/2;1;2;4&nbsp; sau&nbsp; 4;2;1;1/2;1/4.]]></description>
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					<pubDate>Fri, 30 Sep 2011 14:23:00 +0300</pubDate>
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