document.write( "Question 924391: Question : evaluate each of the following arithmetic series\r
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document.write( "1, -3, -7, ..., -75 \n" );
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Algebra.Com's Answer #560835 by wangsol(2)![]() ![]() You can put this solution on YOUR website! 1, -3, -7, ..., -75\r \n" ); document.write( "\n" ); document.write( "a1= 1 \n" ); document.write( "a2= -3\r \n" ); document.write( "\n" ); document.write( "d=-3-1=-4\r \n" ); document.write( "\n" ); document.write( "an=-75 \n" ); document.write( "n=?\r \n" ); document.write( "\n" ); document.write( "using the formula: \n" ); document.write( "an=a1+(n-1)*d \n" ); document.write( "-75=1+(n-1)*-4 \n" ); document.write( "-75=1-4n+4 \n" ); document.write( "-75=5-4n \n" ); document.write( "-80=-4n \n" ); document.write( "n=(-80)/(-4) \n" ); document.write( "n=20 terms\r \n" ); document.write( "\n" ); document.write( "1,-3,-7,-11,-15,-19,-23,-27,-31,-35,-39,-43,-47,-51,-55,-59,-63,-67,-71,-75\r \n" ); document.write( "\n" ); document.write( "d=-4 \n" ); document.write( "1+(-4)=-3 \n" ); document.write( "(-3)+(-4)=-7 \n" ); document.write( "(-7)+(-4)=-11 \n" ); document.write( "(-11)+(-4)=-15 \n" ); document.write( "and so on... \n" ); document.write( "(-71)+(-4)=-75 \n" ); document.write( " |