Back to Determine explicit or recursive expressions — Problem 3 · Task Set 29

HSF.BF.A.1.a Tutor Intake — Explicit, Recursive, and Procedural Representations

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·standard·hsf-bf-a-1a

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Procedures

A recursive sequence is defined by $f(0) = 4$ and $f(n) = f(n-1) \cdot 3$ .

A student computes $f(3) = 3 \cdot 3 = 9$ .

What error did the student make?

The student used the wrong initial value.

The student multiplied the input $n = 3$ by the multiplier, instead of
multiplying the previous output $f(2)$ by the multiplier.

The student should have added 3 instead of multiplying by 3.

There is no error; $f(3) = 9$ is correct.