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Number and Algebra
Chapter Overview
Arithmetic and geometric sequences with financial applications (loans, annuities, amortization). Laws of logarithms, exponential growth and decay. Systems of linear equations, matrices and their operations (HL). Complex numbers (HL).
Topics Covered
- Arithmetic Sequences
- Geometric Sequences
- Financial Mathematics
- Logarithms
- Exponential Models
- Systems of Equations
- Matrices (HL)
Key Formulas
FV = PV(1+r)n
Annuity: PMT = PV x r/(1-(1+r)-n)
Real-World Applications
Applications: Banking, investment analysis, population modeling, cryptography.
Study Tips
Tip: Focus on financial applications
Tip: Practice using technology for sequences
Tip: Learn the amortization formula