document.write( "Question 1096825: Three consecutive terms of a geometric sequence are x - 3, 6 and x + 2.
\n" );
document.write( "Find the possible values of x. \n" );
document.write( "
Algebra.Com's Answer #711224 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! the ratios between adjacent products should be equal \n" ); document.write( "6/(x-3)=(x+2)/6 \n" ); document.write( "cross multiply \n" ); document.write( "x^2-x-6=36 \n" ); document.write( "x^2-x-42=0 \n" ); document.write( "(x-7)(x+6)=0 \n" ); document.write( "x=-6, 7 ANSWER \n" ); document.write( "For -6, the series is -9,6,and -4, a ratio of -(2/3) \n" ); document.write( "For 7, the series is 4,6,9 for a ratio of 2/3 \n" ); document.write( " \n" ); document.write( " |