Recurrence relations: compound interest & depreciation
Mathematics
11th - 12th Grade
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13 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Are geometric sequences...
Linear
Non-linear
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When R<1 there is
Geometric Growth
Geometric Decay
3.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
An investment of $6000 earns compounding interest at the rate of 4.2% per annum. A recurrence relation that can be used to model the value of the investment after n
n years is shown below.
V0=6000,Vn+1=1.042Vn
In the recurrence relation,Vn, is the value of the investment after n years.
Find the value of the investment after 1 year
4.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
An investment of $6000 earns compounding interest at the rate of 4.2% per annum. A recurrence relation that can be used to model the value of the investment after n
n years is shown below.
V0=6000,Vn+1=1.042Vn
In the recurrence relation,Vn, is the value of the investment after n years.
Find the value of the investment after 2 years to nearest cent
5.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
An investment of $6000 earns compounding interest at the rate of 4.2% per annum. A recurrence relation that can be used to model the value of the investment after n
n years is shown below.
V0=6000,Vn+1=1.042Vn
In the recurrence relation,Vn, is the value of the investment after n years.
Find the value of the investment after 3 years to nearest cent
6.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
An investment of $6000 earns compounding interest at the rate of 4.2% per annum. A recurrence relation that can be used to model the value of the investment after n
n years is shown below.
V0=6000,Vn+1=1.042Vn
In the recurrence relation,Vn, is the value of the investment after n years.
Determine how many years it takes for the value of the investment to first exceed $8000
7.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
What is the ratio (R) with an investment of $5000 at a compounding interest rate of 6.8% per annum
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