document.write( "Question 1052627: Prove that (n+1)2 n for all n>1.
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Algebra.Com's Answer #667990 by rothauserc(4718) $\"\"$ $\"About$

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if n = k+1 (k > 1), we have that
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\n" ); document.write( "(k+1) 2(k+1)
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\n" ); document.write( "we have to prove that
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\n" ); document.write( "(k+2)! = (k+2)(k+1) (k+2)2(k+1) (since (k+1) 2(k+1))
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\n" ); document.write( "this implies that
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\n" ); document.write( "(k+2) 2(k+2) \n" ); document.write( "

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