Sequences
Learning Time: 5-15 hours
Content: Sequences are the subject that examines the ordering of numbers according to a specific rule. The 2025 curriculum includes arithmetic and geometric sequences, term finding, and sum formulas. Basic sequences are covered in TYT, while advanced analysis is covered in AYT.
- Basic Concepts:
- Sequence Definition and Terms
- Arithmetic Sequence (aₙ = a₁ + (n-1)d)
- Geometric Sequence (aₙ = a₁rⁿ⁻¹)
- Solution Techniques:
- Term Finding
- Sum Formulas (Arithmetic: Sₙ = n/2 [2a₁ + (n-1)d])
- Geometric Sum (Sₙ = a₁(1-rⁿ)/(1-r))
- Advanced Analysis (ADA):
- Sum of Infinite Geometric Sequences
- Special Sequence Types (Fibonacci)
- Application Problems
- Applications:
- Financial Growth (Geometric)
- Daily Life Examples (Arithmetic)
- Mathematical Models
- Affecting Factors:
- Sequence Type
- Ratio or Difference Value
- Number of Terms
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
