Problem preview

F-IF.3 Warmup M1-021-A08-V03

Recognize sequences, including recursive sequences, as functions whose domains are subsets of integers.

Model a finite list as a sequence function

Problem

Determine whether the finite list \(4,~7,~10\) can be modeled as a sequence function, and state an input assignment.

Answer choices

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Yes; assign inputs n=4, 7, 10 to the list because the numbers shown should be used as the inputs.

Yes; assign inputs n=1, 2, 3, 4 to the list so the sequence has a starting value and an ending value.

No; this cannot be a sequence function because a sequence needs a formula, and only the list 4, 7, 10 is given.

Yes; assign inputs n=1, 2, 3 to the terms in order, so 1→4, 2→7, and 3→10.

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Curriculum context

Course: Math I
Standard: F-IF.3
Category: Functions
Domain: Interpreting Functions
Objective: Recognize sequences, including recursive sequences, as functions whose domains are subsets of integers.
Problem type: Model a finite list as a sequence function