Iteration & Trial and Improvement
T
Using Iterative Formulae and Tables
Push a bit harder. Apply what you know to less familiar problems.
Mathematics · Medium
5
questions · ~4 min · 3 hints each (−5 pts)
Confidence tracking, 3-tier hints and instant feedback.
What you'll learn
Each question helps you build key knowledge and skills.
- 1Iterative formulae are often derived by rearranging an equation like x³ - x - 1 = 0.
- 2Repeated iteration can approximate a root of an equation.
- 3Build a table of values x₀, x₁, x₂, ... to see the sequence converge.
- 4The sequence converges when successive values become very close together.
Question mix
A mix of question types to build your skills.
- Short answer×3
- Multiple choice×1
- True / False×1
Different question types help you think in different ways.
How it works
A simple 3-step process
- 1
Rate your confidence
Tell us how sure you feel before answering. It helps us understand your starting point.
- 2
Use hints if stuck
Get up to 3 helpful hints per question. Each hint costs 5 Treasure Points.
- 3
See what went wrong
Get instant feedback with clear explanations, so you can learn and improve.
Ready when you are
This takes about 4 minutes.