document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148016>Question 1148016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> p, q and r are three consecutive terms of an AP. express p and r in terms of q and d, where d is the common difference. If The Sum Of the terms is 21 and p=6r, find p, q and r. </SPAN>\n" );
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document.write( "In general in an AP, the first of three consecutive terms is the middle term minus the common difference and the third term is the middle term plus the common difference:<br><BR>\n" );
document.write( "p = q-d<BR>\n" );
document.write( "r = q+d<br><BR>\n" );
document.write( "Also in general in an AP, the middle of three consecutive terms is the average of the three terms.<br><BR>\n" );
document.write( "So, given in this problem that the sum of the three consecutive terms is 21, the middle term q is 7.  Then<br><BR>\n" );
document.write( "p = 7-d<BR>\n" );
document.write( "r = 7+d<br><BR>\n" );
document.write( "And the problem tells us p = 6r:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-d+=+6%287%2Bd%29 ALIGN=MIDDLE  ALT=\"7-d+=+6%287%2Bd%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-d+=+42%2B6d ALIGN=MIDDLE  ALT=\"7-d+=+42%2B6d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-35+=+7d ALIGN=MIDDLE  ALT=\"-35+=+7d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+-5 ALIGN=MIDDLE  ALT=\"d+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So<br><BR>\n" );
document.write( "p = q-d = 7-(-5) = 12<BR>\n" );
document.write( "q = 7<BR>\n" );
document.write( "r = 7+d = 7+(-5) = 2<br><BR>\n" );
document.write( "ANSWER: The three terms are 12, 7, and 2. </SPAN>\n" );
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