document.write( "Question 1137872: What is the smallest 4-digit number in the following sequence?
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Algebra.Com's Answer #755762 by Edwin McCravy(20060) $\"\"$ $\"About$

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What is the smallest 4-digit number in the following sequence?
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document.write( "They're all 2 more than a multiple of 3, so we subtract 2 from each\r\n" );
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document.write( "3, 12, 27, 48, 75\r\n" );
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document.write( "Divide each by 3\r\n" );
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document.write( "1, 4, 9, 16, 25\r\n" );
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document.write( "That's the perfect squares, so the sequence 5, 14, 29, 50, 77, …\r\n" );
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document.write( "has general term\r\n" );
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document.write( "We set that greater than or equal to 1000\r\n" );
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document.write( "Divide thru by 3\r\n" );
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document.write( "So 19 is the smallest integer for which the\r\n" );
document.write( "sequence has 4 digits.\r\n" );
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document.write( "So we substitute n=19 in the general term\r\n" );
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document.write( "Edwin

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