document.write( "Question 924384: QUESTIONS: simplify the ratio of the following factorials\r
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document.write( "(n+2)! / n! \n" );
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Algebra.Com's Answer #560791 by Theo(13342)![]() ![]() You can put this solution on YOUR website! (n+2)! / n! is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(n+2) * (n+1) * n! / n! which is equal to n+2 * n+1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an example will help clarify the concept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume n = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n+2 must be equal to 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(n+2)! = 8*7*6*5*4*3*2*1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n! = 6*5*4*3*2*1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 6*5*4*3*2*1 = 6!, you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8! = 8*7*6!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8! / 6! = 8*7*6! / 6! = 8*7 = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |