Iteration Formula
Maths: Edexcel A Level Pure Maths, topic 9.1.3
Iteration (Approximation) Formulae
Use the iteration formula below to find a third approximation for x:
Method
- Use the formula (given in the question) with the starting value x0 given to find approximations x1, x2, x3, ...
Question
Look at the formula and the starting value
Sub the starting value into the formula
This is our first equation (iteration)
Our first approximation is 3.293
Write the second iteration
Our second approximation is 3.277
Write the third iteration
Our third approximation is 3.279
Here are the 3 iterations
Test yourself on Iteration Formula
What is the method that finds the correct answer using approximation and trial and error called?
Iteration Questions