Foundational Mathematics: Sequences and Series

Do you need a strong mathematical foundation for future studies in calculus, finance, or data science? Sequences and series are the building blocks for understanding patterns, growth, and infinite processes. This course provides a solid, practical understanding of these concepts from the ground up. You will master the notation, formulas, and techniques necessary to analyze mathematical patterns and solve problems involving accumulation. What you'll learn: * Understand the notation and fundamental definitions of sequences, series, and progression types. * Master the formulas and properties governing Arithmetic Progressions (AP) and Geometric Progressions (GP). * Apply sigma notation and summation techniques, including methods for finding the sums of special series. * Practice solving problems involving arithmetic, geometric, and harmonic means, and recurrence relations. * Analyze the behavior of infinite sequences and series by introducing basic concepts of limits and convergence. The material begins with clear definitions and progresses through detailed explanations of linear and exponential patterns, concluding with systematic methods for summing finite and analyzing infinite series. This course is designed for absolute beginners or students who need to rebuild their mathematical foundation before tackling calculus or advanced topics. No prior knowledge of sequences or series is required. Start building your mathematical expertise today.