Practice 101 sequences and series tests organized into 10 focused topic groups. Review number patterns, arithmetic and geometric sequences, recursive rules, finite and infinite series, convergence, formulas, and applications with instant feedback and clear explanations.
Open a commonly studied topic or begin with a mixed review.
Move from pattern recognition and formulas to recursive rules, partial sums, convergence, and real-life applications.
Recognize numerical and visual patterns, find missing terms, and write explicit or recursive rules.
Use common differences, nth-term formulas, partial sums, number of terms, and real-life arithmetic models.
Work with common ratios, growth, decay, finite sums, infinite sums, convergence, and repeating decimals.
Apply sequences and series to savings, salaries, populations, depreciation, stacking, and repeated processes.
Begin by identifying the pattern and deciding whether it is arithmetic, geometric, recursive, or another type. Then determine whether the problem asks for a term, a rule, a finite sum, or an infinite sum.
After each test, check whether an error came from identifying the wrong pattern, using the wrong formula, indexing terms incorrectly, confusing a sequence with a series, or applying an invalid convergence condition.
Connect sequences and series with algebra, functions, calculus, and real-life modeling.