Lesson 4.6.1

4.6.1 Sequences and series in modelling Quiz: Pearson Edexcel Maths, Unit 4

20 questions

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Lesson 4.6.1, Sequences and series in modelling: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 4: Sequences and series, written with Revision Ninja.

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The 20 questions

  1. Which progression type models constant percentage growth over equal time intervals?

    • Quadratic series
    • Geometric sequence
    • Linear function
    • Arithmetic sequence

  2. What represents the fixed common difference in a linear population model?

    • Common ratio
    • Exponential factor
    • Constant addition
    • Percentage growth

  3. Which formula models compound interest investments over n years?

    • Arithmetic series
    • Binomial expansion
    • Taylor series
    • Geometric series

  4. What condition is required for an infinite geometric series to converge in a model?

    • r greater than 1
    • r equals 0
    • r equals 1
    • Modulus r less than 1

  5. If a bouncing ball reaches 80% of its previous height, which model applies?

    • Geometric sequence
    • Arithmetic series
    • Constant difference
    • Arithmetic sequence

  6. What does the sum to infinity of a convergent geometric series represent in steady-state models?

    • Maximum index
    • Common ratio
    • Limiting value
    • Initial term

  7. An annual salary increase of a fixed £1,500 each year is modelled by which sequence?

    • Arithmetic sequence
    • Geometric sequence
    • Quadratic sequence
    • Fibonacci sequence

  8. Which series is used to calculate the total savings over ten years of compound interest?

    • Arithmetic series
    • Binomial series
    • Maclaurin series
    • Geometric series

  9. Find the common ratio if a population triples every year.

    • 3n
    • 3^n
    • 1/3
    • 3

  10. A tree grows by 20 cm in year one, 18 cm in year two, and 16 cm in year three. Model this.

    • Exponential decay
    • Harmonic series
    • Arithmetic sequence
    • Geometric sequence

  11. Calculate the sum to infinity if a = 10 and r = 0.5.

    • 5
    • 20
    • 10
    • Infinite

  12. What is the common ratio if a radioactive substance halves every decay period?

    • -0.5
    • 0.5
    • 2
    • 0

  13. Find the 5th term of a geometric sequence where a = 2 and r = 3.

    • 162
    • 54
    • 486
    • 243

  14. Find the total distance travelled by a bouncing ball dropping 10m with r = 0.6.

    • 50 metres
    • 20 metres
    • 25 metres
    • 40 metres

  15. Which model type is appropriate for predicting finite resource depletion with fixed annual extraction rates?

    • Arithmetic series
    • Harmonic progression
    • Geometric series
    • Exponential decay

  16. If u_1 = 4 and u_k+1 = 1.05 u_k, find u_3.

    • 4.41
    • 4.10
    • 4.20
    • 4.50

  17. What type of mathematical model is the Fibonacci sequence often used to approximate?

    • Simple interest
    • Biological growth
    • Radioactive decay
    • Linear depreciation

  18. Find the sum of the first 10 terms of an arithmetic series where a = 2 and d = 3.

    • 150
    • 145
    • 160
    • 155

  19. Which test confirms whether a real-world data set fits an exponential decay model?

    • Binomial expansion
    • Logarithmic plotting
    • Arithmetic mean
    • Second differences

  20. Which sequence type models constant flat-rate depreciation of machinery over time?

    • Arithmetic
    • Quadratic
    • Fibonacci
    • Geometric

All Pearson Edexcel Maths quizzes