document.write( "Question 1082083: Use the method of mathematical induction to establish the following \r
\n" ); document.write( "\n" ); document.write( "1. 1+3+5+...+(2n-1)=2^n\r
\n" ); document.write( "\n" ); document.write( "2. 7^(2n+1) is divided by 8\r
\n" ); document.write( "\n" ); document.write( "3. 3^(4n+2) + 2.4^(3n+1) is exactly divisible by 7\r
\n" ); document.write( "\n" ); document.write( "4. n^(4) + 4n^(2) + 11 is a multiple of 16 for all odd positive integer n. \n" ); document.write( "

Algebra.Com's Answer #696164 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "1. 1+3+5+...+(2n-1)=2^n                                                   THIS FORMULA IS WRONG\r\n" );
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document.write( "2. 7^(2n+1) is divided by 8                                               THIS STATEMENT IS WRONG\r\n" );
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document.write( "3. 3^(4n+2) + 2.4^(3n+1) is exactly divisible by 7                        THIS STATEMENT IS WRONG (I checked it at n = 1, 2, 3, 4, 5)\r\n" );
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document.write( "4. n^(4) + 4n^(2) + 11 is a multiple of 16 for all odd positive integer n.\r\n" );
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