document.write( "Question 939169: i need to know the nth term for and how. thanks.
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Algebra.Com's Answer #572310 by Edwin McCravy(20081) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Here's the way I did it.  Not with a difference table.\r\n" );
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document.write( "Let the nth term be a_n.\r\n" );
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document.write( "I noticed first that the last digits go 8,3,8,3,8,3,8.\r\n" );
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document.write( "Since the last digits differ by ą5, I noticed that if \r\n" );
document.write( "we subtract 3 from each one, the last digits of the new \r\n" );
document.write( "sequence will go 5,0,5,0,5,0 and therefore all be \r\n" );
document.write( "multiples of 5.\r\n" );
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document.write( "Let's subtract 3 from each, and we get a sequence\r\n" );
document.write( "which has nth term  \r\n" );
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document.write( "5, 40, 135, 320, 625, 1080, 1715\r\n" );
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document.write( "Let's divide them by 5 and get a sequence with \r\n" );
document.write( "nth term \r\n" );
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document.write( "1, 8, 27, 64, 125, 216, 343\r\n" );
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document.write( "Aha. that is the sequence of cubes which has\r\n" );
document.write( "nth term .\r\n" );
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document.write( "So we have the equation \r\n" );
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document.write( "Edwin

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