document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438685>Question 438685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm having a really tough time with these two questions. Any help is greatly appreciated, thank you!\r<BR>\n" );
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document.write( "1. For the sequence 15,12,9,... find the common difference and the nth term. \r<BR>\n" );
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document.write( "2. If 3x-1, 2x+2 and 2x-1 are in Arithmetic Progression, find value of x.<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 #303302 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=303302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Common difference is 3. Assuming we start with the first term denoted <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+15 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+15+-+3%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+15+-+3%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (after some practice you'll be able to instantly find an expression for the nth term, then simply change n to n-1 or n+1 to satisfy the sequence).\r<BR>\n" );
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document.write( "2. If they are in arithmetic progression, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B2%29+-+%283x-1%29+=+%282x-1%29+-+%282x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x%2B2%29+-+%283x-1%29+=+%282x-1%29+-+%282x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+%2B+3+=+-3 ALIGN=MIDDLE  ALT=\"-x+%2B+3+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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