document.write( "Question 1208710: An arithmetic series of 30 375 terms has a sum that is a perfect fifth power. What is the smallest positive sum of this series?
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Algebra.Com's Answer #847113 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "I think this is a trick question and one such arithmetic series \r\n" );
document.write( "could be:\r\n" );
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document.write( " to 30375 terms \r\n" );
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document.write( "with common difference d=0. It has a sum = 1 which is the \r\n" );
document.write( "smallest positive perfect 5th power.\r\n" );
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document.write( "There are other arithmetic series with 30375 terms and \r\n" );
document.write( "sum 1 with tiny first terms and tiny common differences \r\n" );
document.write( "greater than 0, but I see no reason the common difference \r\n" );
document.write( "can't be 0.\r\n" );
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document.write( "Edwin

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