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Evaluating iterative formulas

The starter and exit quiz of the lesson “Evaluating iterative formulas”, from the unit “Iteration” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Iteration is the __________ application of a function or process in which the output of each iteration is used as the input for the next iteration.
  2. If \text{f}(x)=4x-7 evaluate \text{f}(1)
  3. If \text{f}(x)=4x-7 evaluate \text{fff}(1)
  4. £30\;000 is invested at a rate of 3.25% interest for 4 years. Which calculation will work out the value of the investment after 4 years?
  5. Match the functions to the correct iterative formula we would use if we were to perform multiple repetitions of the same function.
  6. £150 is invested at a rate of 5.5% compound interest p.a. After how many years will the savings first be worth £500? ___ years.
  7. Iteration is the repeated application of a function or process in which the ___ of each iteration is used as the input for the next iteration.
  8. Using the iterative formula x_{t+1}=8x_t-17 and x_0=5 find the value of x_1 ___
  9. Using the iterative formula x_{t+1}=8x_t-17 and x_0=5 find the value of x_5 ___
  10. Using the iterative formula x_{t+1}={3(x_t)^2-12(x_t)+15} and x_0=1 find the value of x_2 ___
  11. Using the iterative formula x_{t+1}={3(x_t)^2-12(x_t)+15} and x_0=1 find the value of x_4
  12. There are 20\;000 fish in a lake. Every year 4000 fish are fished and removed. The remaining population reproduces and grows by 12%. After how many years will the stock of fish reach zero?

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Evaluating iterative formulas · Examplary