Topic: Sequences and Series
Contents:
- Sequences
- What are the sequences?
- Different types of sequences.
- Series:
- What are the series?
- Different types of series?
- Arithmetic sequences and series:
- Burning question: sum of 1 + 2 + … + 99 + 100.
- Visual solution for the burning question: square.
- General formula deduction
- Geometric sequences and series:
- Burning question: sum of 1 + 2 + 4 + 8 + … v.s. 500000 + 250000 + 125000 + …
- Logical reasoning for the burning question.
- Visual demonstration.
- Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, …):
- What is it? What is the pattern?
- The sequence in nature: snell, sunflower, human face, etc.
- TOK – Bitcoin:
- fundamental math principle
- mining process
- financial and ethic impact?
Feedback:
- Positive:
- Visualization of mathematics
- Making complex math simple
- Real life examples
- A bit of not-that-funny sense of humour
- Negative:
- Low voice
- “Yup” all the way through
- Pacing
For more mathematics resources, please check out Fun Mathematics section.