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First, the information in the question appears t be a sequence, not a series.

The answer to the question depends on which one you want to be wrong.

2: The rule Un= (5933x4- 76570x3+ 367351x2- 765722x + 580008)/24 fits the rest.

14: The rule Un= (12521x4- 149818x3+ 643309x2- 1123772x + 617880)/60 fits the rest.

91: The rule Un= (20419x4- 225668x3+ 875171x2- -1350682x + 681000)/120 fits the rest.


And so on. By suitable choice of coefficients, it is possible to find a polynomial of degree 4 which will fit any five of these values but not the sixth. There are other functions which will also do the same.



First, the information in the question appears t be a sequence, not a series.

The answer to the question depends on which one you want to be wrong.

2: The rule Un= (5933x4- 76570x3+ 367351x2- 765722x + 580008)/24 fits the rest.

14: The rule Un= (12521x4- 149818x3+ 643309x2- 1123772x + 617880)/60 fits the rest.

91: The rule Un= (20419x4- 225668x3+ 875171x2- -1350682x + 681000)/120 fits the rest.


And so on. By suitable choice of coefficients, it is possible to find a polynomial of degree 4 which will fit any five of these values but not the sixth. There are other functions which will also do the same.



First, the information in the question appears t be a sequence, not a series.

The answer to the question depends on which one you want to be wrong.

2: The rule Un= (5933x4- 76570x3+ 367351x2- 765722x + 580008)/24 fits the rest.

14: The rule Un= (12521x4- 149818x3+ 643309x2- 1123772x + 617880)/60 fits the rest.

91: The rule Un= (20419x4- 225668x3+ 875171x2- -1350682x + 681000)/120 fits the rest.


And so on. By suitable choice of coefficients, it is possible to find a polynomial of degree 4 which will fit any five of these values but not the sixth. There are other functions which will also do the same.



First, the information in the question appears t be a sequence, not a series.

The answer to the question depends on which one you want to be wrong.

2: The rule Un= (5933x4- 76570x3+ 367351x2- 765722x + 580008)/24 fits the rest.

14: The rule Un= (12521x4- 149818x3+ 643309x2- 1123772x + 617880)/60 fits the rest.

91: The rule Un= (20419x4- 225668x3+ 875171x2- -1350682x + 681000)/120 fits the rest.


And so on. By suitable choice of coefficients, it is possible to find a polynomial of degree 4 which will fit any five of these values but not the sixth. There are other functions which will also do the same.

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12y ago

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