Sum of an Infinite Geometric Series ( |q| < 1 )
Formula: S = (a₁)/(1 - q) Conditions: Common ratio q satisfies |q| < 1. Explanation: When |q| < 1, the sum of the infinite geometric series converges to (a₁)/(…
Syllabus path: Functions › Sequences › Geometric Sequences
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: S = (a₁)/(1 - q) Conditions: Common ratio q satisfies |q| < 1. Explanation: When |q| < 1, the sum of the infinite geometric series converges to (a₁)/(1 - q).
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Geometric Sequences
Geometric Sequences 1. Core Concepts Definition: A sequence is called a Geometric Sequence if the ratio of any term (from the 2nd term) to its preceding term is a constant. This constant is called the Common Ratio ( q ), ( q eq 0 ). Mathematical Expression: (a(n))/(a(n - 1)) = q …
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