document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65740>Question 65740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Another problem I need a little help with.<BR>\n" );
document.write( "Find the sum of the infinite geometric series if possible.<BR>\n" );
document.write( "-1+(1/4)-(1/16)+(1/64)....<BR>\n" );
document.write( "I multiplied by 4 and came up with 4s=-4+1-(1/4)+(1/16). What do I do next? Or maybe it's not possible to find the sum.....???<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46464 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "Find the sum of the infinite geometric series if possible.<BR>\n" );
document.write( "-1+(1/4)-(1/16)+(1/64)....\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Here the series is, -1+(1/4)-(1/16)+(1/64)....\r<BR>\n" );
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document.write( "We can see that first term is -1 and common ratio is -1/4<BR>\n" );
document.write( "(you can find out common ratio of this series by dividing second term by third term)\r<BR>\n" );
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document.write( "Sum to infinity of a geometric seriesn is given by the formula,\r<BR>\n" );
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document.write( "S = a/(1-r)  where 'a' is the first term and 'r' is the common ratio.\r<BR>\n" );
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document.write( "So we have,\r<BR>\n" );
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document.write( "S = -1/( 1-{-1/4} )\r<BR>\n" );
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document.write( "==> S = -1/( 1+{1/4} )\r<BR>\n" );
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document.write( "==> S = -1/( 1*4 +1)/4\r<BR>\n" );
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document.write( "==> S = -1/ (5/4)<BR>\n" );
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document.write( "==> S = -4/5\r<BR>\n" );
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document.write( "Which is the required answer.\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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