
Recursion & Financial Maths Revision Quiz
Authored by Jakki Gibson
Mathematics
12th Grade
Used 4+ times

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30 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The recurrence relation with starting value 6 and rule ‘multiply by 0.5 and add 4’ is:
V₀ = 6, Vₙ₊₁ = 4Vₙ + 0.5
V₀ = 6, Vₙ₊₁ = 0.5Vₙ - 4
V₀ = 4, Vₙ₊₁ = 0.5Vₙ + 6
V₀ = 6, Vₙ₊₁ = 0.5Vₙ + 4
V₀ = 4, Vₙ₊₁ = 0.5Vₙ - 6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A sequence is generated by the recurrence relation V₀ = 50, Vₙ₊₁ = 0.84Vₙ + 15. After five steps, the value of the term, correct to two decimal places, is:
62.82
71.97
75.45
78.38
80.84
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A recurrence relation that generates a sequence that grows only geometrically is:
A₀ = 4, Aₙ₊₁ = 0.93Aₙ + 5
A₀ = 5, Aₙ₊₁ = 1.05Aₙ
A₀ = 6, Aₙ₊₁ = 0.94Aₙ
A₀ = 7, Aₙ₊₁ = Aₙ
A₀ = 10, Aₙ₊₁ = 1.04Aₙ - 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The recurrence relation V₀ = 20000, Vₙ₊₁ = 1.045Vₙ + 200 could model a:
compound interest loan with annual interest rate of 4.5% and annual payments of $200
compound interest investment with annual interest rate of 4.5% and annual additions of $200
reducing-balance depreciation at an annual rate of 4.5%
compound interest investment with annual interest rate of 5.4% and monthly additions of $200
compound interest loan with annual interest rate of 5.4% and monthly repayments of $200
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The recurrence relation V₀ = 150000, Vₙ₊₁ = 1.0017Vₙ - 1800, is used to calculate the value of a reducing balance loan with fortnightly payments. The annual interest rate is closest to:
2.04%
3.85%
4.4%
6.8%
8.3%
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car is depreciated using a reducing-balance depreciation method, at the rate of 4.5% of its value each year. It was purchased for $24,990. A rule to calculate the value of the car after n years, Vn, is:
Vn = 1.045n × 24990
Vn = 1.00375n × 24990
Vn = 0.956n × 24990
Vn = 0.955n × 24990
Vn = 0.045n × 24990
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company purchased a machine for $5000 and depreciates its value at a rate of 15% of its purchase price per year. When the book value falls below $1500 the company will write it off. The length of time that the machine will be in use is closest to:
2 years
3 years
4 years
5 years
6 years
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