document.write( "Question 1201805: Find the value of 1-2+3-4+4-6+...-100 \n" ); document.write( "
Algebra.Com's Answer #836312 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Find the value of 1-2+3-4+ \n" ); document.write( "Presumably that is the expression you need to evaluate. It doesn't take a lot of effort to look at what you are posting before you post it, to see it you are posting it correctly.... \n" ); document.write( "1-2+3-4+5-6+...+99-100 \n" ); document.write( "Group the terms in pairs: \n" ); document.write( "(1-2)+(3-4)+(5-6)+...+(99-100) \n" ); document.write( "(-1)+(-1)+(-1)+...+(-1) \n" ); document.write( "That's 50 pairs, each with a sum of -1, so the sum of all the numbers is 50(-1) = -50. \n" ); document.write( "ANSWER: -50 \n" ); document.write( " \n" ); document.write( " |