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CSCA MathematicsChapter 2: Functions, Derivatives & SequencesIntermediate

Sequences: Arithmetic & Geometric Progressions

等差数列与等比数列的通项与求和 · Node 2.3

General terms, common difference/ratio, sum of first n terms formulas, and recurrence relations.

Chapter Weight: 35% of official examination
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Core Mathematical Axiom

Formula Proof & Traps
an​=a1​+(n−1)d,Sn​=2n(a1​+an​)​,bn​=b1​qn−1,Sn​=1−qb1​(1−qn)​
CSCA Exam Trap Alert

Neglecting the case q = 1 when computing geometric series sums or dividing by (1 - q).

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