document.write( "Question 805287: If the sum of three terms of an arithmetic progression is 27 and product of the three terms is 504, find the terms? \n" ); document.write( "
Algebra.Com's Answer #485175 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the terms be a,a+d,a+2d\r \n" ); document.write( "\n" ); document.write( "a+a+d+a+2d= 27 \n" ); document.write( "3a+3d=27 \n" ); document.write( "/3 \n" ); document.write( "a+d=9\r \n" ); document.write( "\n" ); document.write( "a(a+d)(a+2d)=504 \n" ); document.write( "a+d =9 \n" ); document.write( "a*9*(9+d)=504\r \n" ); document.write( "\n" ); document.write( "a= 9-d \n" ); document.write( "(9-d)(9+d)*9=504\r \n" ); document.write( "\n" ); document.write( "(9+d)(9-d)=504/9 \n" ); document.write( "9^2-d^2=56 \n" ); document.write( "d^2=81-56 \n" ); document.write( "d^2=25\r \n" ); document.write( "\n" ); document.write( "d=+/-5\r \n" ); document.write( "\n" ); document.write( "a+d =9\r \n" ); document.write( "\n" ); document.write( "when d = 5 \n" ); document.write( "a=4 \n" ); document.write( "the numbers are 4,9,15\r \n" ); document.write( "\n" ); document.write( "The same when you take d=-5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |