Repeating Decimals as Infinite Series Practice Test
This test has 20 questions
Sequences and Series Practice Test: focused sequences and series skills.
This test has 20 questions
This free Repeating Decimals as Infinite Series Practice Test contains 20 multiple-choice questions and does not require registration. The questions are written specifically for Sequences and Series Practice Test review and focus on finite and infinite geometric series, common ratios, convergence, partial sums, and geometric-series applications.
Each question has four answer choices, one correct answer, and a detailed explanation that shows the pattern, formula, substitution, sum setup, or recursive reasoning needed to solve it.
The test emphasizes real sequence and series skills instead of generic arithmetic drills. Depending on the page topic, students may find common differences or ratios, compute nth terms, write explicit and recursive formulas, fill missing terms, evaluate finite arithmetic or geometric sums, decide whether an infinite geometric series converges, or model growth, decay, savings, seating, stacking, and other word problems.
Common mistakes include using n instead of n - 1 in an nth-term formula, adding a common difference when the sequence is geometric, multiplying by a ratio when the pattern is arithmetic, using the infinite-series formula when only a finite number of terms is requested, ignoring the convergence condition |r| < 1, and forgetting that recursive formulas require a starting value.
Use this free 20-question Sequences and Series Practice Test for high school algebra review, precalculus preparation, SAT/ACT-style practice, classroom assignments, or independent study. The test can be completed and retaken without creating an account.