document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042363>Question 1042363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of first three terms of a finite geometric series is -(7/10) and their product is -(1/125). [Hint: Use a/r, a, and ar to represent the first three terms, respectively.] The three numbers are _____, _____, and _____. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657329 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The sum of first three terms of a finite geometric series is -(7/10) and their product is -(1/125). [Hint: Use a/r, a, and ar to represent the first three terms, respectively.] The three numbers are _____, _____, and _____. <BR>\n" );
document.write( "------<BR>\n" );
document.write( "a/r + a + ar = -7/10<BR>\n" );
document.write( "(a/r)*a*(ar) = -1/125<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "a^3 = -1/125<BR>\n" );
document.write( "a = -1/5<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Solve for \"r\"::<BR>\n" );
document.write( "a/r = (-1/5)/r = -1/(5r)<BR>\n" );
document.write( "a = -1/5<BR>\n" );
document.write( "a*r = (-1/5)r<BR>\n" );
document.write( "------<BR>\n" );
document.write( "So, -1/(5r) + (-1/5) + -r/5 = -7/10<BR>\n" );
document.write( "Multiply thru by 10r to get:<BR>\n" );
document.write( "-2 - 2r -2r^2 = -7r<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2r^2 -5r + 2 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( " r = 2<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "1st term:: a/r = (-1/5)/(2) = -1/10<BR>\n" );
document.write( "2nd term:: a = -1/5 = -2/10<BR>\n" );
document.write( "3rd term:: a*r = (-2/10)(2) =-4/10<BR>\n" );
document.write( "Note: Sum = -7/10<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );