document.write( "Question 1150516: \"sum%28k%5E3%2Ck=4%2C24%29\" \n" ); document.write( "
Algebra.Com's Answer #771891 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It's true that you can easily add them up directly, especially with the\r\n" );
document.write( "technology available today.  But perhaps this student is not allowed to do it\r\n" );
document.write( "that way.\r\n" );
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document.write( "\"sum%28k%5E3%2Ck=4%2C24%29=4%5E3%2B5%5E3%2B6%5E3%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2B24%5E3\"\r\n" );
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document.write( "It is well known that the sum\r\n" );
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document.write( "which is easy to proved by induction.  For n=24\r\n" );
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document.write( "Writing out the first 3 terms of that summation\r\n" );
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document.write( "Summing the first 3 terms:\r\n" );
document.write( "                           \"1%5E3%2B2%5E3%2B3%5E3=1%2B8%2B27=36\"\r\n" );
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document.write( "\"36%2Bsum%28k%5E3%2Ck=4%2Cn%29=36%2B4%5E3%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2B24%5E3=90000\"\r\n" );
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document.write( "Subtract 36 from all three sides:\r\n" );
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document.write( "\"sum%28k%5E3%2Ck=4%2Cn%29=36%2B4%5E3%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2B24%5E3=89964\"\r\n" );
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document.write( "That's with what she got, finding the sum directly instead of with a well-known\r\n" );
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document.write( "Edwin

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