Arithmetic Progression
Add the same amount every time. Savings plans, staircases and simple interest all follow this one pattern.
What this unit covers
Unit 4: Sequences, Series and the Binomial Theorem
- 1 Arithmetic ProgressionAdd the same amount every time. Savings plans, staircases and simple interest all follow this one pattern. · 13 min
- 2 Geometric Progression and Sum to InfinityMultiply by the same number every time. Compound interest, bouncing balls and why 0.999… equals 1. · 14 min
- 3 Mathematical InductionKnock over the first domino, show each one knocks the next, and infinitely many fall. · 10 min
- 4 Pascal's Triangle and the Binomial TheoremExpanding (a + b) to the power 6 by hand takes ages. A triangle of numbers does it in seconds. · 10 min
- 5 The General Term and Binomial ApproximationJump straight to the one term you need, and estimate 1.02 to the power 5 to five decimal places without a calculator. · 10 min