document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122290>Question 1122290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of four arithmetic means between 2 and -10 is______ </SPAN>\n" );
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document.write( "Let the four arithmetic means be a, b, c, and d.  Then the arithmetic sequence formed is<br><BR>\n" );
document.write( "-10, a, b, c, d, 2<br><BR>\n" );
document.write( "In that arithmetic sequence -- as in any arithmetic sequence -- the terms can be grouped in pairs with each pair having the same sum.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bd+=+b%2Bc+=+%28-10%29%2B2+=+-8. ALIGN=MIDDLE  ALT=\"a%2Bd+=+b%2Bc+=+%28-10%29%2B2+=+-8.\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the sum of the four arithmetic means is 2(-8) = -16.<br><BR>\n" );
document.write( "In general, the sum of n arithmetic means between a and b is n times the average of a and b.<br><BR>\n" );
document.write( "For this problem in particular, the average of the given two terms is (-10+2)/2 = -4; the sum of the four arithmetic means is 4(-4) = -16. </SPAN>\n" );
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