SOLUTION: good day! have a series of numbers and i just want to know if this is a valid sequence.. thanks!
1
3
7
8
21
49
76
224
467
514
1155
2683
5216
10544
Algebra ->
Sequences-and-series
-> SOLUTION: good day! have a series of numbers and i just want to know if this is a valid sequence.. thanks!
1
3
7
8
21
49
76
224
467
514
1155
2683
5216
10544
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Question 1176684: good day! have a series of numbers and i just want to know if this is a valid sequence.. thanks!
1
3
7
8
21
49
76
224
467
514
1155
2683
5216
10544
It is not an arithmetic sequence or a geometric sequence but a sequence is any list that follows a particular pattern. Since what you presented is a list that does follow a specific pattern, it is a sequence. I have no idea what you mean by "valid" in this context.
What pattern? When paired in one-to-one correspondence with any arithmetic sequence with equal cardinality, any finite list of numbers creates a set of ordered pairs that can be uniquely defined by a polynomial of degree one less than the cardinality of the original list. Your sequence, which contains 14 elements, could be uniquely defined by a 13th-degree polynomial.
John
My calculator said it, I believe it, that settles it.
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