document.write( "Question 956094: Find 2 geometric means between 9 and -1944
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #584181 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "9 and -1944\r\n" );
document.write( "\r\n" );
document.write( "The sequence is\r\n" );
document.write( "\r\n" );
document.write( "a1, a2, a3, a4\r\n" );
document.write( "\r\n" );
document.write( "where the two middle terms are the two geometric means.\r\n" );
document.write( "\r\n" );
document.write( "Using the formula for the nth term\r\n" );
document.write( "\r\n" );
document.write( "a1, a1r, a1r², a1r³\r\n" );
document.write( "\r\n" );
document.write( "a1 = 9, \r\n" );
document.write( "\r\n" );
document.write( "So the sequence is\r\n" );
document.write( "\r\n" );
document.write( "9, 9r, 9r², 9r³\r\n" );
document.write( "\r\n" );
document.write( "a4 = 9r³ = -1944\r\n" );
document.write( "      r³ = -216\r\n" );
document.write( "       r = -6\r\n" );
document.write( "\r\n" );
document.write( "The two means are 9r and 9r², which are\r\n" );
document.write( "\r\n" );
document.write( "           9(-6) = -54 and 9(-6)² = 9(36) = 324 \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );