
General Maths compound interest recurrence relations part 1
Authored by Jonathon Muller
Mathematics
11th - 12th Grade
Used 4+ times

AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
Content View
Student View
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which one of the following recurrence relations defines the sequence with starting value 4 and the rule ‘multiply by 3 and subtract 1’?
A0 = 1, An+1 = 3An − 4
A0 = 4, An+1 = 3An − 1
A0 = 3, An+1 = 4An − 1
A0 = 4, An+1 = An − 3
A0 = 1, An+1 = 4An − 3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which one of the following recurrence relations defines the sequence with starting value 1 and the rule ‘multiply by 4 and add 2’?
A0 = 1, An+1 = 4An + 2
A0 = 4, An+1 = An + 2
A0 = 1, An+1 = 2An + 4
A0 = 2, An+1 = 4An + 1
A0 = 2, An+1 = 4An + 2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many terms of the sequence defined by the recurrence relation A0 = 25, An+1 = 2An − 30 are positive?
1
2
3
4
5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The annual percentage rate of interest for a compound interest loan is 12.6% per annum, compounding monthly.
The balance of this loan after n months, An, can be modelled by the recurrence relation:
A0 = 3000, An+1 = 1.0097An
If the loan and interest is fully repaid after 5 months, how much in total will be paid?
$3029.10
$3148.35
$1890
$3118.11
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The annual percentage rate of interest for a compound interest loan of $4000 is 12.7% per annum, compounding fortnightly. What is the recurrence relation for this loan?
A0 = 4000, An+1 = 0.0049An
A0 = 4000, An+1 = 1.0049An
A0 = 4000, An+1 = 1.127An
A0 = 4000, An+1 = 1.4885An
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A compound interest investment of principal $12 000 will earn interest at the rate of 10.8% per annum, compounding every six months. Which one of the following is a
recurrence relation model for An, the balance of the investment after n six-month periods?
A0 = 12 000, An+1 = 1.054An
A0 = 12 000, An+1 = 1.108An
A0 = 12 000, An+1 = 1.018An
A0 = 12 000, An+1 = 1.15An
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An investment of $50 000 is made at a fixed rate of interest compounding annually over a number of years. Which graph best represents the value of the investment at the end of each year?
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
12 questions
Simple Interest
Quiz
•
11th Grade - University
15 questions
Bell Work 1/27
Quiz
•
7th Grade - University
10 questions
Matemática Básica I
Quiz
•
12th Grade
12 questions
NÚMEROS INTEIROS OPOSTOS OU SIMÉTRICOS
Quiz
•
9th - 12th Grade
10 questions
Múltiplos y divisores
Quiz
•
12th Grade
15 questions
ระบบจำนวนจริง
Quiz
•
12th Grade
10 questions
Bell Work 1/21
Quiz
•
7th Grade - University
15 questions
KUIS STATISTIKA AWAL BAG.2
Quiz
•
12th Grade
Popular Resources on Wayground
7 questions
History of Valentine's Day
Interactive video
•
4th Grade
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
22 questions
fractions
Quiz
•
3rd Grade
15 questions
Valentine's Day Trivia
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
Discover more resources for Mathematics
10 questions
Factor Quadratic Expressions with Various Coefficients
Quiz
•
9th - 12th Grade
10 questions
Evaluating Piecewise Functions Practice
Quiz
•
11th Grade
5 questions
Triangle Congruence Theorems
Interactive video
•
9th - 12th Grade
15 questions
Exponential Growth and Decay Word Problems Practice
Quiz
•
9th - 12th Grade
21 questions
Converting between Logs and Exponents
Quiz
•
11th Grade
20 questions
Classifying polynomials
Quiz
•
11th Grade
20 questions
special right triangles
Quiz
•
9th - 12th Grade
20 questions
Interpreting Scatter Plots
Quiz
•
8th - 12th Grade