document.write( "Question 1137728: Write the statements P1, Pk, PK+1 for the equation as if you were writing a proof by
\n" ); document.write( "mathematical induction. You do not need to complete the proof.\r
\n" ); document.write( "\n" ); document.write( "1(1!)+2(2!)+...+n(n!)=(n+1)!-1\r
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Algebra.Com's Answer #755591 by ikleyn(52848) $\"\"$ $\"About$

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document.write( "P1 :       1*(1!) = (1+1)! - 1,  or, which is the same, 1 = 2! - 1.\r\n" );
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document.write( "Pk :       1(1!) + 2(2!) + . . . + k*(k!) = (k+1)!-1\r\n" );
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document.write( "P(k+1) :   1(1!) + 2(2!) + . . . + (k+1)*(k+1)! = (k+2)!-1\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answered.\r
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