document.write( "Question 800372: I didn't know what category to put this in...
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document.write( "Solve for 4+8+12+...+204+208 is there a simpler way to do this than adding every number between the beginning and end? \n" );
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Algebra.Com's Answer #483051 by mananth(16946)![]() ![]() You can put this solution on YOUR website! its arithmetic progression\r \n" ); document.write( "\n" ); document.write( "The nth term is given by \n" ); document.write( "Tn = a+(n-1)d\r \n" ); document.write( "\n" ); document.write( "a= first term \n" ); document.write( "d= difference between terms \n" ); document.write( "n = number of terms\r \n" ); document.write( "\n" ); document.write( "208=4+(n-1)4\r \n" ); document.write( "\n" ); document.write( "208=4+4n-4 \n" ); document.write( "208=4n \n" ); document.write( "n=52\r \n" ); document.write( "\n" ); document.write( "Sum of n terms \n" ); document.write( "Sn = n/2(2a+(n-1)d)\r \n" ); document.write( "\n" ); document.write( "Sn = 52/2(2*4+(51*4)\r \n" ); document.write( "\n" ); document.write( "=27(8+204) \n" ); document.write( "=27*212 \n" ); document.write( "=5724\r \n" ); document.write( "\n" ); document.write( "208=4(n-1)4 \n" ); document.write( " |