document.write( "Question 375346: Give an equation for the sequence:\r
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Algebra.Com's Answer #266925 by EdwinMcCravy(4) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "The sequence of denominators is \r\n" );
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document.write( "2, 5, 10, 17, 26, 37, ...\r\n" );
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document.write( "and we notice that each term of this sequence is 1 more than the\r\n" );
document.write( "corresponding term in the sequence of squares:\r\n" );
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document.write( "1, 4, 9, 16, 25, 36, ...\r\n" );
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document.write( "And we know that the formula for the nth term of that sequence is\r\n" );
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document.write( "So the formula for the nth term of the sequence of denominators \r\n" );
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document.write( "2, 5 10 17, 26, 37, ...\r\n" );
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document.write( "is \r\n" );
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document.write( "Then the formula for the nth term of the sequence of the absolute values \r\n" );
document.write( "of the terms of the given sequence,\r\n" );
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document.write( "1/2, 1/5, 1/10, 1/17, 1/26, 1/37\r\n" );
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document.write( "is\r\n" );
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document.write( "But the signs alternate in the given sequence.  To cause the signs to alternate,\r\n" );
document.write( "multiply by the \"alternating-sign factor\" \r\n" );
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document.write( "So the final answer is\r\n" );
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document.write( "Edwin

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