Back to Recognize sequences as functions — Problem 2 · Task Set 5

HSF.IF.A.3 Tutor Intake — Sequences as Functions

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Grade 9·13 problems·~12 min·Common Core Math - HS Functions·group·hsf-if-a-3

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Procedures

A student defines a sequence with only the rule $a(n) = a(n-1) + 5$ .
Why is this definition incomplete?

The recurrence relation should subtract, not add.

An initial term such as $a(1) = \text{some value}$ is missing; without it,
the sequence is not uniquely determined.

The notation $a(n)$ should be replaced with $a_n$ .

The rule must also state the common ratio.