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Lesson
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Concept

Explicit Rule

An explicit rule of a sequence is a function rule where the input is a term's position, and the output is the value of the term. This is opposed to recursive rules, where a term's value is found using previous terms. Explicit rules are often written as
where is the function rule. An example would be the sequence which can be described by the explicit rule
where is the position of a term in the sequence. It says that the first term, has the value the second term, has the value and so on.