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 \(3,~6,~12,~24\).
Big Picture
What this problem is really about
A recursive geometric rule scales the previous term by one constant factor. We’ll preserve the first listed value as the initial condition, divide consecutive terms to verify a common ratio, and use that ratio as the multiplier on the preceding term. Rebuilding several terms distinguishes genuine repeated multiplication from an additive pattern that matches only briefly.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
