document.write( "Question 1208339: Find the next term 5, 14, 17, 30, \n" ); document.write( "
Algebra.Com's Answer #846705 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "No, Ikleyn, I'm not being a troll. Here are two perfectly correct logical\r\n" );
document.write( "patterns that give the same four numbers but which produce different\r\n" );
document.write( "5th numbers.  I am doing this to point out something VERY CORRECT that\r\n" );
document.write( "YOU and another tutor SAID about such problems.  Their answers are not unique.\r\n" );
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document.write( "Unfortunately, aptitude tests for getting jobs very often include number\r\n" );
document.write( "sequences such as this one.  I know from personal experience from my younger\r\n" );
document.write( "years when applying for employment.  That's why we should take them seriously.\r\n" );
document.write( "Maybe to PROTEST AGAINST them!  Or else to hopefully get educators to study such\r\n" );
document.write( "number sequence problems given on such job exams.  Somebody should investigate\r\n" );
document.write( "what is going on with these sequence problems on tests for people interviewing\r\n" );
document.write( "for jobs.  If there are specific types of patterns for them that are required to\r\n" );
document.write( "answer them, these should be taught in schools.\r\n" );
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document.write( "I made a mistake on the lst one so I deleted it. I had a different one, decided\r\n" );
document.write( "to change it and forgot to change the numbers in the 5th part. Here is the\r\n" );
document.write( "corrected version, plus another one below that gives the same results using a\r\n" );
document.write( "cubic equation in n.\r\n" );
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document.write( "First one (with the numbers corrected in the last step):\r\n" );
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document.write( "Start with 5.\r\n" );
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document.write( "Take the absolute difference between 5 and 9, get 4.\r\n" );
document.write( "Square 4, get 16, add 26, get 42, divide by 3, get 14. \r\n" );
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document.write( "Take the absolute difference between 14 and 9, get 5.\r\n" );
document.write( "Square 5, get 25, add 26, get 51, divide by 3, get 17.\r\n" );
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document.write( "Take the absolute difference between 17 and 9, get 8.\r\n" );
document.write( "Square 8, get 64, add 26, get 90, divide by 3, get 30. \r\n" );
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document.write( "Take the absolute difference between 30 and 9, get 21.\r\n" );
document.write( "Square 21, get 441, add 26, get 467, divide by 3, get 155 2/3.\r\n" );
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document.write( "Answer 155 2/3.\r\n" );
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document.write( "Second one:\r\n" );
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document.write( "You can also substitute integers 1 through 4 in the following cubic polynomial\r\n" );
document.write( "in n and get the same 4 numbers you gave.\r\n" );
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document.write( "\"expr%288%2F3%29n%5E3-19n%5E2%2Bexpr%28142%2F3%29n-26\"\r\n" );
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document.write( "Substituting 1:\r\n" );
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document.write( "\"expr%288%2F3%29%281%29%5E3-19%281%29%5E2%2Bexpr%28142%2F3%29%281%29-26\"\r\n" );
document.write( "\"expr%288%2F3%29%281%29-19%281%29%2B142%2F3-26\"\r\n" );
document.write( "\"8%2F3-19%2B142%2F3-26\"\r\n" );
document.write( "\"150%2F3-19-26\"\r\n" );
document.write( "\"50-45\"\r\n" );
document.write( "\"5\"\r\n" );
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document.write( "Substituting 2:\r\n" );
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document.write( "\"expr%288%2F3%29%282%29%5E3-19%282%29%5E2%2Bexpr%28142%2F3%29%282%29-26\"\r\n" );
document.write( "\"expr%288%2F3%29%288%29-19%284%29%2B284%2F3-26\"\r\n" );
document.write( "\"64%2F3-76%2B284%2F3-26\"\r\n" );
document.write( "\"348%2F3-76-26\"\r\n" );
document.write( "\"116-102\"\r\n" );
document.write( "\"14\"\r\n" );
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document.write( "Substituting 3:\r\n" );
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document.write( "\"expr%288%2F3%29%283%29%5E3-19%283%29%5E2%2Bexpr%28142%2F3%29%283%29-26\"\r\n" );
document.write( "\"expr%288%2F3%29%2827%29-19%289%29%2B426%2F3-26\"\r\n" );
document.write( "\"216%2F3-171%2B426%2F3-26\"\r\n" );
document.write( "\"642%2F3-171-26\"\r\n" );
document.write( "\"214-197\"\r\n" );
document.write( "\"17\"\r\n" );
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document.write( "Substituting 4:\r\n" );
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document.write( "\"expr%288%2F3%29%284%29%5E3-19%284%29%5E2%2Bexpr%28142%2F3%29%284%29-26\"\r\n" );
document.write( "\"expr%288%2F3%29%2864%29-19%2816%29%2B568%2F3-26\"\r\n" );
document.write( "\"512%2F3-304%2B568%2F3-26\"\r\n" );
document.write( "\"1080%2F3-304-26\"\r\n" );
document.write( "\"360-330\"\r\n" );
document.write( "\"30\"\r\n" );
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document.write( "Substituting 5:\r\n" );
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document.write( "\"expr%288%2F3%29%285%29%5E3-19%285%29%5E2%2Bexpr%28142%2F3%29%285%29-26\"\r\n" );
document.write( "\"expr%288%2F3%29%28125%29-19%2825%29%2B710%2F3-26\"\r\n" );
document.write( "\"1000%2F3-475%2B710%2F3-26\"\r\n" );
document.write( "\"1710%2F3-475-26\"\r\n" );
document.write( "\"570-501\"\r\n" );
document.write( "\"69\"\r\n" );
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document.write( "Answer: 69\r\n" );
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document.write( "Edwin

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