Write arithmetic and geometric sequences explicitly and recursively; translate between forms and model situations.
Find a specific term from a given arithmetic or geometric sequence rule
Problem
Use this sequence rule to find \(a_10\): \(a_n~=~5~+~3(n~-~1)\).
Big Picture
What this problem is really about
An explicit sequence rule gives direct access to a requested term through its index. We’ll replace the general index everywhere with the requested term number, preserve the grouped transition count, and evaluate parentheses before multiplication and addition. Interpreting that count as the number of changes after term one provides a conceptual check on the arithmetic.
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.
