The cards Question What is simple interest always calculated on? Tap to flip Answer The original amount. Question What is compound interest calculated on? Tap to flip Answer The original amount and the interest accumulated over the previous period. Question What type of sequence can compound interest be thought of as? Tap to flip Answer A geometric sequence. Question What is iteration? Tap to flip Answer The repeated application of a function or process, where the output of each iteration is the input for the next. Question A composite function could be many iterations of what? Tap to flip Answer One original function. Question How is the iterative formula x_(t+1) = 8x_t + 6 read in words? Tap to flip Answer The next x value is equal to eight lots of the current x value plus six. Question In an iterative formula, what is used as this iteration's input? Tap to flip Answer The previous iteration's output. Question Which calculator button lets you repeat an iteration without retyping each value? Tap to flip Answer The 'Ans' button. Question What can you do to an equation in order to solve it by iteration? Tap to flip Answer Rearrange it. Question What kind of solution does iteration find for an equation? Tap to flip Answer An approximate solution. Question When do you stop iterating to solve an equation? Tap to flip Answer When the outputs are the same to a given degree of accuracy. Question To give a solution to a degree of accuracy, is it enough to round one iteration? Tap to flip Answer No. Several successive iterations need to round to the same value. Question If a value is a solution, what should the equation evaluate to when it is substituted? Tap to flip Answer 0 Question Why is substituting an iterative solution unlikely to give exactly 0? Tap to flip Answer Because the solution is an approximation. Question What is the lower bound for a rounded number? Tap to flip Answer The smallest value the number could have taken before being rounded. Question What is the upper bound for a rounded number? Tap to flip Answer The smallest value that would round up to the next rounded value. Question What can you substitute into an equation to tell whether an estimated solution is good? Tap to flip Answer The upper and lower bounds of the estimated value. Question If the bounds give one positive and one negative value, what does this imply about the graph? Tap to flip Answer It would cross the x axis. Question How does an x intercept of the graph relate to the equation? Tap to flip Answer It is a solution to the equation. Question Why might there be no change in sign between two values even though there are solutions between them? Tap to flip Answer There may be a repeated root or two solutions between them. Question Can an iterative formula always be used to find the solutions to an equation? Tap to flip Answer No. Some formulas cause an error, others may not converge, and different values of x₀ produce different results. Question Give one reason an iterative formula may cause an error. Tap to flip Answer e.g. it needs the square root of a negative, or a division by 0. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage GCSE (Years 10–11) Course GCSE Maths Unit Iteration Tiers higher England's National Curriculum sets what is taught; the units and their order are Oak National Academy's. Flash Feed is not affiliated with Oak or any exam board.
How this deck was checked On 2026-11-02, every card was compared with its source: the lessons of Oak National Academy, a public body funded by England's Department for Education that publishes lessons for the national curriculum. Because the cards come from those lessons, no second source was sought. The comparison was done automatically, not by a teacher, so a card can still be wrong. Flash Feed is not affiliated with any source named here.
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A Maths lesson by Oak National Academy licensed under Open Government Licence (OGL)
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