Problem preview

F-BF.2 Warmup M1-017-A03-V03

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

Write a recursive rule for a geometric sequence from its terms

Problem

Write a recursive geometric-sequence rule for the terms \(2,~-6,~18,~-54\).

Answer choices

Choose your path.

Preview only

a₁ = 2; aₙ = 3aₙ₋₁, for n ≥ 2

a₁ = -6; aₙ = -3aₙ₋₁, for n ≥ 2

a₁ = 2; aₙ = -3aₙ₋₁, for n ≥ 2

a₁ = 2; aₙ = aₙ₋₁ - 8, for n ≥ 2

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: Write a recursive rule for a geometric sequence from its terms