SOLUTION: Can you form a sequence using the given set of data below? a) 41,40,90,101,93,98,112,116,108,82,75,107,145,86,123 b) 66,80,204,20,126,329,59,67,9,339,66,113,14,563,116,105,38 If

Algebra ->  Formulas -> SOLUTION: Can you form a sequence using the given set of data below? a) 41,40,90,101,93,98,112,116,108,82,75,107,145,86,123 b) 66,80,204,20,126,329,59,67,9,339,66,113,14,563,116,105,38 If      Log On


   

Question 1166230: Can you form a sequence using the given set of data below?
a) 41,40,90,101,93,98,112,116,108,82,75,107,145,86,123
b) 66,80,204,20,126,329,59,67,9,339,66,113,14,563,116,105,38
If yes, form the sequence/s. Explain why you think a sequence can or cannot be formed using each given set of data.
Thank you so much for your help in advance!!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You can create a formula that will provide any number of additional elements to any sequence of numbers. Any sequence of real numbers uniquely defines a polynomial function of degree after creating a one-to-one correspondence with the elements of the sequence and the first either positive or non-negative integers.

I'm not saying or implying that it is always an easy task. In the first case you would need to solve a 15 by 15 system of linear equations to get the coefficients of a 14th degree polynomial function. The other one is worse.

John

My calculator said it, I believe it, that settles it


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