document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132426>Question 1132426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the first five terms of the arithmetic series in which the sum of the second and ninth terms is 25, and the sum of the third and seventh terms is 20. </SPAN>\n" );
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document.write( "Let x be the 5th term of the sequence; let a be the common difference.<br><BR>\n" );
document.write( "(NOTE: Choosing x to be the 5th term of the sequence puts it halfway between the 3rd and 7th terms; this will simplify the algebra required to solve the problem.)<br><BR>\n" );
document.write( "Then the 2nd term is x-3a; the 9th term is x+4a; the 3rd term is x-2a, and the 7th term is x+2a.  The given information is then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3a%29%2B%28x%2B4a%29+=+25 ALIGN=MIDDLE  ALT=\"%28x-3a%29%2B%28x%2B4a%29+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Ba+=+25 ALIGN=MIDDLE  ALT=\"2x%2Ba+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2a%29%2B%28x%2B2a%29+=+20 ALIGN=MIDDLE  ALT=\"%28x-2a%29%2B%28x%2B2a%29+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+20 ALIGN=MIDDLE  ALT=\"2x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "From those two equations, it is easy to solve for x and a, enabling us to write the first 5 terms of the sequence. </SPAN>\n" );
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