The following recurrence relation can generate a sequence of numbers.
The number 13 appears in this sequence as
CORE, FUR1-NHT 2019 VCAA 17 MC
A sequence of numbers is generated by the recurrence relation shown below.
What is the value of
- 2
- 5
- 11
- 41
- 122
CORE, FUR1 2019 VCAA 17 MC
Consider the recurrence relation shown below.
The value of
CORE, FUR1 2016 VCAA 17 MC
Consider the recurrence relation below.
The first four terms of this recurrence relation are
CORE*, FUR1 2015 VCAA 9 MC
Paul has to replace 3000 m of fencing on his farm.
Let
The difference equation
can be used to calculate the length of fencing left to replace after
In this equation,
After one week, Paul still has 2540 m of fencing left to replace.
After three weeks, the length of fencing, in metres, left to replace will be closest to
A. 1310
B. 1380
C. 1620
D. 1690
E. 2100
CORE*, FUR1 2015 VCAA 6 MC
Miki is competing as a runner in a half-marathon.
After 30 minutes, his progress in the race is modelled by the difference equation
where
Using this difference equation, the total distance, in metres, that Miki is expected to have run 32 minutes after the start of the race is closest to
A. 7650
B. 7725
C. 7800
D. 7900
E. 8050
CORE*, FUR1 2006 VCAA 8 MC
Paula started a stamp collection. She decided to buy a number of new stamps every week.
The number of stamps bought in the
The total number of stamps in her collection after five weeks is
A.
B.
C.
D.
E.
CORE*, FUR1 2006 VCAA 5 MC
A difference equation is defined by
The sequence
A.
B.
C.
D.
E.
CORE*, FUR1 2006 VCAA 3-4 MC
The following information relates to Parts 1 and 2.
A farmer plans to breed sheep to sell.
In the first year she starts with 50 breeding sheep.
During the first year, the sheep numbers increase by 84%.
At the end of the first year, the farmer sells 40 sheep.
Part 1
How many sheep does she have at the start of the second year?
A. 2
B. 42
C. 52
D. 84
E. 92
Part 2
If
| A. |
||
| B. |
||
| C. |
||
| D. |
||
| E. |
CORE*, FUR1 2013 VCAA 8 MC
The initial rate of pay for a job is $10 per hour.
A worker’s skill increases the longer she works on this job. As a result, the hourly rate of pay increases each month.
The hourly rate of pay in the
The maximum hourly rate of pay that the worker can earn in this job is closest to
A. $3.00
B. $12.00
C. $12.50
D. $18.75
E. $75.00
CORE*, FUR1 2009 VCAA 7 MC
The difference equation
If
A. 4
B. 8
C. 22
D. 40
E. 42
CORE*, FUR1 2011 VCAA 5 MC
The difference equation
generates a sequence with
The value of
A. 0
B. 1
C. 2
D. 3
E. 4
CORE*, FUR1 2014 VCAA 7 MC
The first term of a Fibonacci-related sequence is
The second term of the same Fibonacci-related sequence is
The difference in value between the fourth and fifth terms of this sequence is
A.
B.
C.
D.
E.
CORE*, FUR1 2012 VCAA 9 MC
Three years after observations began, 12 300 birds were living in a wetland.
The number of birds living in the wetland changes from year to year according to the difference equation
where
The number of birds living in the wetland one year after observations began was closest to
A.
B.
C.
D.
E.
CORE*, FUR1 2012 VCAA 1 MC
1, 9, 10, 19, 29, . . .
The sixth term of the Fibonacci-related sequence shown above is
A. 30
B. 39
C. 40
D. 48
E. 49
CORE*, FUR1 2009 VCAA 1 MC
The first six terms of a Fibonacci related sequence are shown below.
4, 7, 11, 18, 29, 47, ...
The next term in the sequence is
A. 58
B. 65
C. 76
D. 94
E. 123
CORE*, FUR1 2013 VCAA 5 MC
A sequence is generated by the difference equation
The
A.
B.
C.
D.
E.