Infinite geometric series

Understand infinite geometric series through their partial sums, convergence conditions and exact values. This precalculus practice set connects the finite-sum formula to an infinite total while distinguishing a shrinking term from the sum of all terms.

Ten single-select and multiselect questions cover positive and alternating ratios, shifted starting indices, exceptional zero series, unknown parameters and tail accuracy. Detailed explanations justify when a sum formula applies and show why substituting into it without checking convergence can fail. Work in exact form unless a tolerance is stated.