Q: What is the rule for this sequence 12631.5?

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Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.

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.

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.

Without further terms in the sequence, it is impossible to determine what the rule in the sequence is.

It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.

Related questions

Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.

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."

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.

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.

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.

A single number, such as 2511141720 does not make a sequence!

You need the rule that generates the sequence.

No. It is a sequence for which the rule is a quadratic expression.

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.

Without further terms in the sequence, it is impossible to determine what the rule in the sequence is.

It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.

1, 4, 7, 10, 13, …