Lesson D6

D6 Sequences and series in modelling Quiz: AQA Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson D6, Sequences and series in modelling: 20 multiple choice questions for the AQA Maths (7357), Unit 4: Sequences and series, written with Revision Ninja.

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The 20 questions

  1. Which type of sequence is most suitable for modelling compound interest?

    • Quadratic
    • Arithmetic
    • Periodic
    • Geometric

  2. Which type of sequence models a fixed amount added each period?

    • Periodic
    • Geometric
    • Arithmetic
    • Alternating

  3. A savings account starts at £0 and receives £50 at the end of each month. What is the balance after 12 months?

    • £600
    • £650
    • £550
    • £500

  4. A population of 500 doubles each year. What is the population after 4 years?

    • 2000
    • 8000
    • 4000
    • 1000

  5. A 200 mg dose halves every 6 hours. How much remains after 24 hours?

    • 50 mg
    • 12.5 mg
    • 6.25 mg
    • 25 mg

  6. The sequence u_(n+1) = 0.8u_n + 10 has a long-run value. What is it?

    • 10
    • 40
    • 50
    • 125

  7. Rent is £1000 per month and rises by 2% each year. What is the rent after 5 years?

    • £1100.00
    • £1104.08
    • £1200.00
    • £1020.00

  8. A car worth £12000 loses £1500 in value each year. What is its value after 4 years?

    • £7500
    • £6000
    • £4500
    • £10500

  9. A brick wall has 10 bricks in the first row and 2 more in each row above. How many bricks are in 8 rows?

    • 80
    • 136
    • 144
    • 128

  10. A periodic sequence alternates 100, 60, 100, 60, ... What is the 15th term?

    • 100
    • 40
    • 160
    • 60

  11. A geometric population model with ratio 1.1 predicts unbounded growth. Which refinement is most sensible?

    • Replace it with a periodic sequence
    • Change the ratio to exactly 1.1 for all years
    • Introduce a carrying capacity that limits growth
    • Use a larger initial population

  12. Money grows at 5% compound interest per year. In which year does the amount first exceed double the starting sum?

    • Year 20
    • Year 15
    • Year 14
    • Year 10

  13. What is a fixed point of u_(n+1) = 1.5u_n - 4?

    • -8
    • 4
    • 2
    • 8

  14. A sequence starts at u_0 = 2 and u_(n+1) = u_n + 3. After how many steps does it first exceed 50?

    • 17
    • 18
    • 16
    • 15

  15. Savings grow by £20 each month, starting at £100. What is the total saved after 6 monthly amounts?

    • £600
    • £900
    • £1080
    • £1200

  16. A ball dropped from 8 m rebounds to 3/4 of its previous height each time. What is the total distance travelled before it comes to rest?

    • 64 m
    • 56 m
    • 32 m
    • 24 m

  17. £200 is deposited at the end of each year, starting at the end of year 1, with 3% interest per year. What is the balance immediately after the third deposit?

    • £618.18
    • £612.00
    • £630.00
    • £600.00

  18. A sequence has u_(n+1) = 0.5u_n + 6 with u_1 = 20. What is u_4?

    • 16
    • 13
    • 14
    • 12

  19. A sequence has u_1 = 5 and u_(n+1) = 2 - u_n. What is u_20?

    • 2
    • 5
    • -3
    • -5

  20. A profit starts at £2000 and rises by £500 each year. In which year does it first exceed £6000?

    • Year 8
    • Year 12
    • Year 9
    • Year 10

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