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	<title>Aritmetik Ve Geometrik Seriler konu anlatımı | Bilgicik.Com</title>
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		<title>Aritmetik Ve Geometrik Seriler</title>
		<link>https://www.bilgicik.com/yazi/aritmetik-ve-geometrik-seriler/</link>
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		<dc:creator><![CDATA[Yayın Dünyası]]></dc:creator>
		<pubDate>Fri, 04 Jan 2013 18:16:27 +0000</pubDate>
				<category><![CDATA[Diziler ve Seriler]]></category>
		<category><![CDATA[Matematik 2 (LYS)]]></category>
		<category><![CDATA[Aritmetik Ve Geometrik Seriler]]></category>
		<category><![CDATA[Aritmetik Ve Geometrik Seriler konu anlatımı]]></category>
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					<description><![CDATA[<p>bir aritmetik dizi ise serisine aritmetik seri denir. olduğundan aritmetik seri ıraksaktır. bir geometrik dizi ise serisine geometrik seri denir. geometrik serisinde, &#124;r&#124; &#60; 1 ise seri yakınsaktır. Serinin kısmi toplamlar dizisinin limiti serinin toplamını verir. 60 metre yükseklikten bırakılan bir top her yere çarptığında düştüğü yüksekliğin ü kadar yükseliyor. Buna göre, topun duruncaya kadar [&#8230;]</p>
The post <a href="https://www.bilgicik.com/yazi/aritmetik-ve-geometrik-seriler/">Aritmetik Ve Geometrik Seriler</a> first appeared on <a href="https://www.bilgicik.com">Bilgicik.Com</a>.]]></description>
										<content:encoded><![CDATA[<p><img decoding="async" class="alignnone size-full wp-image-23579" title="001" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00112.jpg" alt="" width="26" height="20" /> bir aritmetik dizi ise <img decoding="async" class="alignnone size-full wp-image-23580" title="002" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00213.jpg" alt="" width="40" height="34" /> serisine <strong>aritmetik seri</strong> denir.</p>
<p><img decoding="async" class="alignnone size-full wp-image-23582" title="003" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00315.jpg" alt="" width="202" height="30" /></p>
<p>olduğundan aritmetik seri ıraksaktır.</p>
<p><img decoding="async" class="alignnone size-full wp-image-23579" title="001" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00112.jpg" alt="" width="26" height="20" /> bir geometrik dizi ise <img decoding="async" class="alignnone size-full wp-image-23580" title="002" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00213.jpg" alt="" width="40" height="34" /> serisine <strong>geometrik seri</strong> denir.</p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23583" title="004" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00413.jpg" alt="" width="243" height="34" /></p>
<p>geometrik serisinde,</p>
<p>|r| &lt; 1 ise seri yakınsaktır. Serinin kısmi toplamlar dizisinin limiti serinin toplamını verir.</p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23584" title="005" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00512.jpg" alt="" width="268" height="106" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23585" title="007" src="https://www.bilgicik.com/wp-content/uploads/2013/01/00710.jpg" alt="" width="330" height="194" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/00710.jpg 330w, https://www.bilgicik.com/wp-content/uploads/2013/01/00710-300x176.jpg 300w" sizes="auto, (max-width: 330px) 100vw, 330px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23586" title="008" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0089.jpg" alt="" width="330" height="585" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0089.jpg 330w, https://www.bilgicik.com/wp-content/uploads/2013/01/0089-169x300.jpg 169w" sizes="auto, (max-width: 330px) 100vw, 330px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23587" title="009" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0099.jpg" alt="" width="332" height="286" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0099.jpg 332w, https://www.bilgicik.com/wp-content/uploads/2013/01/0099-300x258.jpg 300w" sizes="auto, (max-width: 332px) 100vw, 332px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23588" title="010" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0109.jpg" alt="" width="331" height="194" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0109.jpg 331w, https://www.bilgicik.com/wp-content/uploads/2013/01/0109-300x175.jpg 300w" sizes="auto, (max-width: 331px) 100vw, 331px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23589" title="011" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0118.jpg" alt="" width="328" height="367" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0118.jpg 328w, https://www.bilgicik.com/wp-content/uploads/2013/01/0118-268x300.jpg 268w" sizes="auto, (max-width: 328px) 100vw, 328px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23590" title="012" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0129.jpg" alt="" width="332" height="223" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0129.jpg 332w, https://www.bilgicik.com/wp-content/uploads/2013/01/0129-300x201.jpg 300w" sizes="auto, (max-width: 332px) 100vw, 332px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23591" title="013" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0136.jpg" alt="" width="334" height="569" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0136.jpg 334w, https://www.bilgicik.com/wp-content/uploads/2013/01/0136-176x300.jpg 176w" sizes="auto, (max-width: 334px) 100vw, 334px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23592" title="014" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0147.jpg" alt="" width="218" height="289" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23593" title="015" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0156.jpg" alt="" width="317" height="414" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0156.jpg 317w, https://www.bilgicik.com/wp-content/uploads/2013/01/0156-229x300.jpg 229w" sizes="auto, (max-width: 317px) 100vw, 317px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23594" title="016" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0166.jpg" alt="" width="86" height="31" /></p>
<p>60 metre yükseklikten bırakılan bir top her yere çarptığında düştüğü yüksekliğin <img loading="lazy" decoding="async" class="alignnone size-full wp-image-23595" title="017" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0176.jpg" alt="" width="25" height="29" />ü kadar yükseliyor.<br />
Buna göre, topun duruncaya kadar dikey olarak aldığı toplam yol kaç metredir?<br />
A) 300 B) 240 C) 210 D) 200 E) 180</p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23596" title="018" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0184.jpg" alt="" width="328" height="332" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0184.jpg 328w, https://www.bilgicik.com/wp-content/uploads/2013/01/0184-296x300.jpg 296w" sizes="auto, (max-width: 328px) 100vw, 328px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23594" title="016" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0166.jpg" alt="" width="86" height="31" /></p>
<p>Bir kenarının uzunluğu 32 cm olan bir eşkenar üçgenin kenarlarının orta noktaları birleştirilerek yeni bir eşkenar üçgen elde ediliyor. Bu işlem elde edilen her üçgene uygulanıyor.<br />
Buna göre, oluşan tüm üçgenlerin alanları toplamı kaç <img loading="lazy" decoding="async" class="alignnone size-full wp-image-23597" title="019" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0194.jpg" alt="" width="29" height="20" /> dir?</p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23598" title="020" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0203.jpg" alt="" width="308" height="83" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0203.jpg 308w, https://www.bilgicik.com/wp-content/uploads/2013/01/0203-300x80.jpg 300w" sizes="auto, (max-width: 308px) 100vw, 308px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23599" title="021" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0213.jpg" alt="" width="329" height="563" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0213.jpg 329w, https://www.bilgicik.com/wp-content/uploads/2013/01/0213-175x300.jpg 175w" sizes="auto, (max-width: 329px) 100vw, 329px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23594" title="016" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0166.jpg" alt="" width="86" height="31" /></p>
<p>Bir kenarı 16 cm olan bir karenin kenar orta noktaları birleştirilerek yeni bir kare elde ediliyor. Aynı işlem elde edilen bütün karelere uygulanarak sonsuz sayıda kare elde ediliyor.<br />
Buna göre, bu karelerin çevreleri toplamı kaç cm dir?</p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23600" title="023" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0233.jpg" alt="" width="332" height="48" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0233.jpg 332w, https://www.bilgicik.com/wp-content/uploads/2013/01/0233-300x43.jpg 300w" sizes="auto, (max-width: 332px) 100vw, 332px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23601" title="025" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0251.jpg" alt="" width="329" height="571" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/0251.jpg 329w, https://www.bilgicik.com/wp-content/uploads/2013/01/0251-172x300.jpg 172w" sizes="auto, (max-width: 329px) 100vw, 329px" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23602" title="026" src="https://www.bilgicik.com/wp-content/uploads/2013/01/0261.jpg" alt="" width="330" height="635" /></p>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-23603" title="027" src="https://www.bilgicik.com/wp-content/uploads/2013/01/027.jpg" alt="" width="324" height="145" srcset="https://www.bilgicik.com/wp-content/uploads/2013/01/027.jpg 324w, https://www.bilgicik.com/wp-content/uploads/2013/01/027-300x134.jpg 300w" sizes="auto, (max-width: 324px) 100vw, 324px" /></p>
<p>[matematik_2_lys]</p>The post <a href="https://www.bilgicik.com/yazi/aritmetik-ve-geometrik-seriler/">Aritmetik Ve Geometrik Seriler</a> first appeared on <a href="https://www.bilgicik.com">Bilgicik.Com</a>.]]></content:encoded>
					
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