Problem preview

F-BF.2 Warmup M1-017-A10-V04

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

Model a geometric situation with explicit and recursive rules

Problem

A video gets \(45~\text{views}\) on \(\text{day}~1\) and triples its views each day after that. Write both the explicit and recursive geometric-sequence rules.

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explicit: aₙ = 3(45)ⁿ ⁻ ¹; recursive: a₁ = 3, aₙ = 45aₙ₋₁

explicit: aₙ = 45 + 3(n - 1); recursive: a₁ = 45, aₙ = aₙ₋₁ + 3

explicit: aₙ = 45(3)ⁿ; recursive: a₁ = 45, aₙ = 3aₙ₋₁

explicit: aₙ = 45(3)ⁿ ⁻ ¹; recursive: a₁ = 45, aₙ = 3aₙ₋₁

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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: Model a geometric situation with explicit and recursive rules