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It is impossible.
Given any set of n numbers, it is easy to find infinitely many polynomials of order n that can be used as a rule for those numbers. In addition, there are non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. The best that you can do is Occam's test: go for the simplest solution.
For example, what is the rule for the sequence 10, 20, 30, 40, 50?
Is it t(n) = 10*n?
Why not t(n) = (n^5 - 15*n^4 + 85*n^3 - 225*n^2 + 334*n - 120)/6 ?
For n = 1 , 2, 3, 4, 5 they give the same result: the sequence for which you are seeking a rule. Mathematically, both answers are equally valid.
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What is the rule for this pattern 2 6 8 14?
Without further terms in the sequence, it is impossible to determine what the rule in the sequence is.
What is the rule in generating a sequence?
Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.
What make a number sequence?
A number sequence is an ordered set of numbers. There can be a rule such that the next number in the sequence can be determined by the values of some or all of the preceding terms in the sequence. However, the sequence for a random walk illustrates that such a rule is not necessary to define a sequence.
How do you find the rule of a sequence of numbers?
Since a given sequence of numbers can be designed to follow any rule, you have to use a system of trial and error to see if you can discover the rule. Sometimes the rule is obvious, sometimes it is extremely complicated. Try to invent a rule which would produce the sequence that you observe.
What is the rule for this sequence 12631.5?
A single number, such as 12631.5, does not make a sequence.
What is the rule for this pattern 2 6 8 14?
Without further terms in the sequence, it is impossible to determine what the rule in the sequence is.
What is the rule in generating a sequence?
Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.
Rule that states the sequence to be used when evaluating expressions?
Q: What is the rule that states the sequence to be used when evaluating expressions? A: The rule that states the sequence to be used when evaluating expressions is know as the "order of operations."
Why is syntax analysis is based on grammar?
Syntax analysis (parsing) is to determine a text is conform to a predefined rule. A rule is the format, the sequence, to compose an element or abstraction (words, fields, tokens, nodes in xml, area code in a sequence of digits, etc.). Grammar is a collection of these predefined rules.
What is position -to-term rule in maths?
It is the description of a rule which describes how the terms of a sequence are defined in terms of their position in the sequence.
What make a number sequence?
A number sequence is an ordered set of numbers. There can be a rule such that the next number in the sequence can be determined by the values of some or all of the preceding terms in the sequence. However, the sequence for a random walk illustrates that such a rule is not necessary to define a sequence.
What does sequential patterns mean in math?
A sequence is an ordered set of numbers. There may be a rule governing the sequence such that, if you know the numbers in the sequence up to a particular point, the rule will allow you to deduce the value of the next number in the sequence. That rule - if it exists - is the sequential pattern.
How do you find the rule of a sequence of numbers?
Since a given sequence of numbers can be designed to follow any rule, you have to use a system of trial and error to see if you can discover the rule. Sometimes the rule is obvious, sometimes it is extremely complicated. Try to invent a rule which would produce the sequence that you observe.
What is the rule for the sequence 2511141720?
A single number, such as 2511141720 does not make a sequence!
How do you get the 50th term by multiplying in a sequence?
You need the rule that generates the sequence.
Is quadratic sequence exponential function?
No. It is a sequence for which the rule is a quadratic expression.
What is the rule for this sequence 12631.5?
A single number, such as 12631.5, does not make a sequence.
