IterationFind approximate solutions to equations numerically using iteration. 
This is level 3: using flowcharts to define iterations. You can earn a trophy if you get at least 5 questions correct.
This flowchart can be used to solve the equation \(2x^2+2x3=0\). Use it to find the values of \(x_1, x_2, x_3, x_4, x_5\) and \(x_6\). Type your answers in the spaces lower down this page.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Fibonacci Probably the first iterative example learners will encounter is the Finonacci sequence. A simple rule exists for finding the next term of the sequence from the previous two.
Level 1  Generating sequences using next term rule.
Level 2  Rearranging equations.
Level 3  Using flowcharts to define iterations.
Level 4  Solving equations to one decimal place.
Exam Style questions are in the style of GCSE or IB/Alevel exam paper questions and worked solutions are available for Transum subscribers.
The video above is from Steve Blades (https://m4ths.com).
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.
For an animated demonstration of the calculator button pressing order for iteration see Calculator Workout skill 16.
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