IXL - Identify a sequence as explicit or recursive (Algebra 1 practice)

Which word best describes this formula for the sequence

–

(

–

)

explicit

recursive

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Learn with an example

question

Which word best describes this formula for the sequence

–

explicit

recursive

key idea

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,

solution

Look at the formula.

–

It defines a sequence using earlier terms,

–

and

–

so this formula is recursive.

Looking for more? Try these:

Lesson: Arithmetic sequences

Lesson: Geometric sequences

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Work it out

Not feeling ready yet? These can help:

U.2Arithmetic sequences

U.3Geometric sequences

U.5Evaluate recursive formulas for sequences

Lesson: Arithmetic sequences

Lesson: Geometric sequences

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