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F-BF.2 Warmup M1-017-A14-V02

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

Compare two sequence representations at a specific term number

Problem

Use the sequence-comparison display. At the displayed target index, evaluate the explicit rule, read the corresponding table value, and state the larger sequence.

Sequence comparison card showing the target term number n equals 4, the rule a sub n equals 3 times 2 to the n minus 1, and the table values b sub 1 equals 5, b sub 2 equals 10, b sub 3 equals 20, and b sub 4 equals 40. Open full size
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Four variants of this problem type
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
Compare two sequence representations at a specific term number