document.write( "Question 858645: The sum of three consecutive terms of an A.P. is 18 and their product is 162.Find the terms. \n" ); document.write( "
Algebra.Com's Answer #517317 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The sum of three consecutive terms of an A.P. is 18 and their product is 162.Find the terms.\r \n" ); document.write( "\n" ); document.write( "let the three terms be \n" ); document.write( "a-d, a , a+d\r \n" ); document.write( "\n" ); document.write( "a-d+a+a+d =18\r \n" ); document.write( "\n" ); document.write( "3a=18 \n" ); document.write( "a=6\r \n" ); document.write( "\n" ); document.write( "(a-d)(a+d)(a) = 162\r \n" ); document.write( "\n" ); document.write( "plug a =6\r \n" ); document.write( "\n" ); document.write( "(6-d)(6+d)(6)=162\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(36-d^2)*6 =162\r \n" ); document.write( "\n" ); document.write( "36-d^2= 162/6\r \n" ); document.write( "\n" ); document.write( "36-d^2= 27\r \n" ); document.write( "\n" ); document.write( "d^2=9\r \n" ); document.write( "\n" ); document.write( "d= +/-3\r \n" ); document.write( "\n" ); document.write( "when d=3\r \n" ); document.write( "\n" ); document.write( "3,6,9 \n" ); document.write( "when d=-3\r \n" ); document.write( "\n" ); document.write( "9,6,3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |