document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473442>Question 473442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sum the series of...The infinite sum of (((2^(n+1))(3^n))+((3^(n+1))(5^n))+((5^(n+1))(7^n)))/((6^n)(15^n)(35^n))  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324695 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Presuming you want\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=0}^{\infty} \frac{2^{n+1}3^n + 3^{n+1}5^n + 5^{n+1}7^n}{6^n15^n35^n}\">,\r<BR>\n" );
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document.write( "this is equal to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=0}^{\infty} \frac{2^{n+1}3^n + 3^{n+1}5^n + 5^{n+1}7^n}{2^n3^n3^n5^n5^n7^n}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE = \sum_{n=0}^{\infty} \frac{2(2^n)(3^n)}{2^n3^n3^n5^n5^n7^n} + \frac{3(3^n)(5^n)}{2^n3^n3^n5^n5^n7^n} + \frac{5(5^n)(7^n)}{2^n3^n3^n5^n5^n7^n}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE = \sum_{n=0}^{\infty} \frac{2}{525^n} + \frac{3}{140^n} + \frac{5}{90^n}\">\r<BR>\n" );
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document.write( "This can be split into three sums, all of them convergent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE = 2(\frac{525}{524}) + 3(\frac{141}{140}) + 5(\frac{91}{90})\">\r<BR>\n" );
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document.write( "And you can simplify from there.\r<BR>\n" );
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