document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981788>Question 981788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .Find k so that the numbers 2k+1, 3k+4, and 7k+6 form a geometric<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602725 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=602725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A geometric sequence forms when there is a common ratio r.\r<BR>\n" );
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document.write( "To find the common ratio r, divide a given term by the previous term\r<BR>\n" );
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document.write( "So if you picked the second term as the \"given term\", then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%28second_term%29%2F%28first_term%29 ALIGN=MIDDLE  ALT=\"r+=+%28second_term%29%2F%28first_term%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%283k%2B4%29%2F%282k%2B1%29 ALIGN=MIDDLE  ALT=\"r+=+%283k%2B4%29%2F%282k%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you picked the third term as the \"given term\", then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%28third_term%29%2F%28second_term%29 ALIGN=MIDDLE  ALT=\"r+=+%28third_term%29%2F%28second_term%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%287k%2B6%29%2F%283k%2B4%29 ALIGN=MIDDLE  ALT=\"r+=+%287k%2B6%29%2F%283k%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two r values are the same, so we can equate the expressions to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287k%2B6%29%2F%283k%2B4%29+=+%283k%2B4%29%2F%282k%2B1%29 ALIGN=MIDDLE  ALT=\"%287k%2B6%29%2F%283k%2B4%29+=+%283k%2B4%29%2F%282k%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now solve the equation for k. I'll let you do this part. </SPAN>\n" );
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