document.write( "Question 760903: For any positive integer n, ((n+1)!/n!)-n =
\n" ); document.write( "The answer is 1 Please explain.... \n" ); document.write( "

Algebra.Com's Answer #462931 by rothauserc(4718) $\"\"$ $\"About$

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((n+1)!/n!)-n =
\n" ); document.write( "work the terms inside the parenthesis first
\n" ); document.write( "note that (n+1)! = (n+1)*n!, so
\n" ); document.write( "(n+1)*(n)! / n! = n+1 because the n! terms cancel
\n" ); document.write( "we are left with
\n" ); document.write( "n+1 - n = 1
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