Arithmetic Series Practice Test

Sequences and Series Practice Test: focused sequences and series skills.

Arithmetic Series Practice Test

This test has 20 questions

About This Arithmetic Series Practice Test

This free Arithmetic 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 arithmetic series, partial sums, first and last terms, number of terms, and arithmetic-series word problems.

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.

Skills Covered

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.

How to Solve These Problems

  1. Decide whether the pattern is arithmetic, geometric, recursive, repeating, Fibonacci-type, or a finite/infinite series.
  2. Identify the first term, common difference, common ratio, starting value, number of terms, or last term before choosing a formula.
  3. Substitute carefully into the nth-term or sum formula and simplify step by step.
  4. For word problems, define what each term represents before calculating the requested term or total.

Common Mistakes

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.

Practice Format

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.