Sum of the First n Terms of a Geometric Sequence ( q eq 1 )
Formula: S n = (a₁(1 - q^n))/(1 - q) Conditions: q eq 1, n is a positive integer. Explanation: Where a₁ is the first term, q is the common ratio, and S n is th…
Syllabus path: Functions › Sequences › Geometric Sequences
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: S n = (a₁(1 - q^n))/(1 - q) Conditions: q eq 1, n is a positive integer. Explanation: Where a₁ is the first term, q is the common ratio, and S n is the sum of the first n terms.
Related tutorial and examples
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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