Further: Recursion: 8A-8F

Further: Recursion: 8A-8F

Miss Trang

Recursion and Financial Modelling SAC

Term 1, Week 7, Tuesday

9/3/21

To be confirmed soon

In all SACs and exams, you are permitted to bring:

- CAS Calculator

- Scientific Calculator

- 1 Bound Reference

- Stationery (pens, pencils...etc)

- Water bottle must be on the floor

Bound Book

Needs to adhere to VCAA specifications

https://www.vcaa.vic.edu.au/

assessment/vce-assessment/

materials/Pages/index.aspx#01

8A: Sequences

A list of numbers, written down in a particular order, is called a sequence.

Fill in the Blanks

Question 1

The following sequence follows the rule: 'multiply by 2 and then add 4'.

1, 6,

What is the third term of this sequence?

Note: Answer should be in numerical form. No spaces. No equal signs

2B: Recurrence Relations

A recurrence relation is a mathematical rule that can be used to generate a sequence. 

Vo = starting value, Vn+1 = Vn $\pm$  D

Fill in the Blanks

Question 2

What is the starting value of the sequence generated by this recurrence relation?

Note: Answer should be in numerical form. No spaces. No equal signs

Multiple Choice

Question 3

This recurrence relation produces the sequence:

• 500, 510, 520, 530, ...

• 500, 490, 480, 470, ...

• 470, 480, 490, 500, ...

• 530, 520, 510, 500, ...

Multiple Choice

VCAA 2016

• A

• B

• C

• D

• E

8C: Modelling Linear Growth and Decay

This means to represent linear growth (straight line patterns) in real life situations

Multiple Select

Select all examples of linear growth

• Simple Interest

• Flat-rate depreciation

• Compound interest

• Unit-cost depreciation

• Reducing balance depreciation

Multiple Select

Select all examples of linear decay

• Simple Interest

• Flat-rate depreciation

• Compound interest

• Unit-cost depreciation

• Reducing balance depreciation

Multiple Select

Select all examples of geometric decay

• Simple Interest

• Flat-rate depreciation

• Compound interest

• Unit-cost depreciation

• Reducing balance depreciation

Multiple Select

Select all examples of geometric growth

• Simple Interest

• Flat-rate depreciation

• Compound interest

• Unit-cost depreciation

• Reducing balance depreciation