IXL - Identify a sequence as explicit or recursive (Precalculus practice)

Which word best describes this formula for the sequence

explicit

recursive

ref_doc_title.

Learn with an example

Which word best describes this formula for the sequence

–

explicit

recursive

A sequence is an ordered list of numbers, called

terms.

The terms in a sequence are sometimes written

etc., where

is the first term,

is the second term, and so on. The subscript

on the term

is called the

index.

A recursive formula defines a sequence using earlier terms.

An explicit formula defines a sequence using only the index,

Look at the formula.

–

It defines a sequence using only the index,

so this formula is explicit. It is not recursive because the formula does not use earlier terms.

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