Problem preview

F-BF.2 Warmup M1-017-A09-V04

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

Model an arithmetic situation with explicit and recursive rules

Problem

At hour \(1\), the temperature is \(-2^{\circ}\) and rises by \(3^{\circ}~\text{each}~\text{hour}\). Write both the explicit and recursive arithmetic-sequence rules.

Answer choices

Choose your path.

Preview only

Explicit: aₙ = -2 - 3(n - 1); Recursive: a₁ = -2, aₙ = aₙ₋₁ - 3

Explicit: aₙ = -2 + 3n; Recursive: a₁ = -2, aₙ = aₙ₋₁ + 3

Explicit: aₙ = -2(3)ⁿ ⁻ ¹; Recursive: a₁ = -2, aₙ = 3aₙ₋₁

Explicit: aₙ = -2 + 3(n - 1); Recursive: a₁ = -2, aₙ = aₙ₋₁ + 3

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

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 an arithmetic situation with explicit and recursive rules