document.write( "Question 1198571: Given that f(x)=(r+1)!/(r-1)!
\n" ); document.write( "Simplified f(x)
\n" ); document.write( "Evaluate the sum from 1to10of f(x) \n" ); document.write( "
Algebra.Com's Answer #832180 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "Given that \r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28r%2B1%29%21%2F%28r-1%29%21\"\r
\n" ); document.write( "\n" ); document.write( "Simplify:\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28r%2B1%29%21%2F%28r-1%29%21\"\r
\n" ); document.write( "\n" ); document.write( "cancel the factorials: \"n%21%2F%28n-m%29%21=n%28n-1%29\"*......*\"%28n-m%2B1%29\", \"n%3Em\"\r
\n" ); document.write( "\n" ); document.write( "\"%28r%2B1%29%21%2F%28r-1%29%21=r%28r%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "siplified:\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=r+%28r+%2B+1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Evaluate the sum from \"1\" to \"10\" of \"f%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29=1+%281%2B+1%29=2\"\r
\n" ); document.write( "\n" ); document.write( "\"f%282%29=2+%282%2B+1%29=6\"\r
\n" ); document.write( "\n" ); document.write( "\"f%283%29=3+%283%2B+1%29=12\"
\n" ); document.write( "\"f%284%29=4+%284%2B+1%29=20\"\r
\n" ); document.write( "\n" ); document.write( "\"f%285%29=5+%285%2B+1%29=30\"
\n" ); document.write( "\"f%286%29=6+%286%2B+1%29=42\"
\n" ); document.write( "\"f%287%29=7+%287%2B+1%29=56\"
\n" ); document.write( "\"f%288%29=8+%288%2B+1%29=72\"
\n" ); document.write( "\"f%289%29=9+%289%2B+1%29=90\"
\n" ); document.write( "\"f%2810%29=10+%2810%2B+1%29=110\"\r
\n" ); document.write( "\n" ); document.write( "the sum is;\r
\n" ); document.write( "\n" ); document.write( "\"2%2B6%2B12%2B20%2B30%2B42%2B56%2B72%2B90%2B110=440\"
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