Topic 01Mathematics: Analysis and Approaches
A.1 Sequences and Series
Describe arithmetic and geometric patterns with closed-form formulas, sum any finite series, write sums compactly with sigma notation, and decide when an infinite geometric series converges.
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Arithmetic sequences and series
Arithmetic sequence — adding the same step every time · Arithmetic series — adding all the terms · Sigma notation — the compact sum
32 min
Geometric sequences and series
Geometric sequence — multiplying by the same factor · Geometric series — adding all the terms · Real-world geometric growth
32 min
Sum of an infinite convergent geometric seriesSign up
When does an infinite sum converge? · S∞ — the infinite-sum formula
25 min