A single number, such as 2511141720 does not make a sequence!
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.
You need the rule that generates the sequence.
No. It is a sequence for which the rule is a quadratic expression.
A single number, such as 12631.5, does not make a sequence.
Without further terms in the sequence, it is impossible to determine what the rule in the sequence is.
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.
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, …