document.write( "Question 980023: if x - 4, 4 - x and x form an arithmetic progression, what is x? please help with a little explanation.thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #601227 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! (x-4),(4-x),x must have equal differences between them\r \n" ); document.write( "\n" ); document.write( "Difference between first and second is (4-x)-(x-4)=4-2x+4=8-2x\r \n" ); document.write( "\n" ); document.write( "The difference between second and third must equal 8-2x. It is x-(4-x)=2x-4\r \n" ); document.write( "\n" ); document.write( "Therefore, 8-2x=2x-4 \n" ); document.write( "12=4x by adding 2x and 4 to both sides; \n" ); document.write( "x=3 ANSWER \n" ); document.write( "-1, 1, 3 are the numbers, and they form an arithmetic progression with difference 2 between each. \n" ); document.write( " |