[size=85]Adjuk meg az alábbi sorozat tagjai reciprokainak összegét![br][/size][img]data:image/png;base64,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[/img][br][br][size=85][url=https://www.geogebra.org/m/yydewuqb#material/mqmpckm8]Láttuk, hogy[/url] [math]a_n=\frac{n\left\langle n+1\right\rangle}{2}[/math][/size].
[size=85]Ebben e megoldásban a [url=https://hu.wikipedia.org/wiki/Teleszkopikus_%C3%B6sszeg]teleszkopikus összeg[/url] módszert használtuk.[/size]