Problem preview

F-BF.2 Warmup M1-017-A11-V02

Write arithmetic and geometric sequences explicitly and recursively; translate between forms and model situations.

Classify a sequence as arithmetic, geometric, both, or neither

Problem

Classify the sequence \(3,~6,~12,~24\) as arithmetic, geometric, both, or neither, and justify the classification.

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This sequence is both arithmetic and geometric because it follows a regular pattern as it grows.

This sequence is geometric because each term is multiplied by 2 to get the next term.

This sequence is neither arithmetic nor geometric because the numbers do not change by the same amount each time.

This sequence is arithmetic because the terms keep increasing from one number to the next.

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Curriculum context

Course: Math I
Standard: F-BF.2
Category: Functions
Domain: Building Functions
Objective: Write arithmetic and geometric sequences explicitly and recursively; translate between forms and model situations.
Problem type: Classify a sequence as arithmetic, geometric, both, or neither