The first five terms of a sequence are 2, 6, 22, 86, 342 …
The recurrence relation that generates this sequence could be
CORE*, FUR1 2015 VCAA 3 MC
A town has a population of 200 people when a company opens a large mine.
Due to the opening of the mine, the town’s population is expected to increase by 50% each year.
Let
The expected growth in the town’s population can be modelled by
| A. |
|
| B. |
|
| C. |
|
| D. |
|
| E. |
CORE*, FUR1 2006 VCAA 7 MC
The values of the first five terms of a sequence are plotted on the graph shown below.
The first order difference equation that could describe the sequence is
| 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 2007 VCAA 8 MC
The first four terms of a sequence are
A difference equation that generates this sequence is
| A. |
||
| B. |
||
| C. |
||
| D. |
||
| E. |
CORE*, FUR1 2007 VCAA 4-5 MC
The following information relates to Parts 1 and 2.
The number of waterfowl living in a wetlands area has decreased by 4% each year since 2003.
At the start of 2003 the number of waterfowl was 680.
Part 1
If this percentage decrease continues at the same rate, the number of waterfowl in the wetlands area at the start of 2008 will be closest to
A. 532
B. 544
C. 554
D. 571
E. 578
Part 2
Let
The rule for a difference equation that can be used to model the number of waterfowl in the wetlands area over time is
A.
B.
C.
D.
E.
CORE*, FUR1 2008 VCAA 7 MC
The sequence
A. fibonacci-related
B. arithmetic with
C. arithmetic with
D. geometric with
E. geometric with
CORE*, FUR1 2008 VCAA 4 MC
In 2008, there are 800 bats living in a park.
After 2008, the number of bats living in the park is expected to increase by 15% per year.
Let
A difference equation that can be used to determine the number of bats living in the park
| A. |
|
| B. |
|
| C. |
|
| D. |
|
| E. |
CORE*, FUR1 2009 VCAA 8 MC
A patient takes 15 milligrams of a prescribed drug at the start of each day.
Over the next 24 hours, 85% of the drug in his body is used. The remaining 15% stays in his body.
Let
A difference equation for determining
| A. |
|
| B. |
|
| C. |
|
| D. |
|
| E. |
CORE*, FUR1 2009 VCAA 6 MC
The
A difference equation that generates the same sequence is
| A. |
|
| B. |
|
| C. |
|
| D. |
|
| E. |
CORE*, FUR1 2011 VCAA 7 MC
Let
At the beginning of 2012, Sienna plans to throw out the oldest 10% of pairs of shoes that she owned in 2011.
During 2012 she plans to buy 15 new pairs of shoes to add to her collection.
Let
A rule that enables
A.
B.
C.
D.
E.
CORE*, FUR1 2014 VCAA 6 MC
Consider the following sequence.
Which of the following difference equations could generate this sequence?
| A. | ||
| B. | ||
| C. | ||
| D. | ||
| E. |
CORE*, FUR1 2014 VCAA 4 MC
On day 1, Vikki spends 90 minutes on a training program.
On each following day, she spends 10 minutes less on the training program than she did the day before.
Let
A difference equation that can be used to model this situation for
| A. |
|
| B. |
|
| C. |
|
| D. |
|
| E. |
CORE*, FUR1 2010 VCAA 7 MC
Each trading day, a share trader buys and sells shares according to the rule
where
From this rule, it can be concluded that each day
- the trader sells 60% of the shares that she owned at the start of the day and then buys another 50 000 shares.
- the trader sells 40% of the shares that she owned at the start of the day and then buys another 50 000 shares.
- the trader sells 50 000 of the shares that she owned at the start of the day.
- the trader sells 60% of the 50 000 shares that she owned at the start of the day.
- the trader sells 40% of the 50 000 shares that she owned at the start of the day.
CORE*, FUR1 2012 VCAA 2 MC
A poultry farmer aims to increase the weight of a turkey by 10% each month.
The turkey’s weight,
A.
B.
C.
D.
E.