- Mathematics General
- Year 12
Recursion and Financial Modelling
approx. 8 hrs
2 topics
21 concepts
Strengthen your skills in Recursion and Financial Modelling to build confidence and examination success.
approx. 8 hrs
2 topics
21 concepts
Strengthen your skills in Recursion and Financial Modelling to build confidence and examination success.
The Year 12 General Mathematics program covers Recursion and Financial Modelling content defined in the Australian curriculum. In Recursion and Financial Modelling, students become competent in arithmetic and geometric sequences and their application to financial modelling, including models of exponential growth and decay.
This learning program is made up of the following 2 topics, broken down into 21 concepts.
Derive a formula for the nth term of a series
Find the nth term of an arithmetic sequence
Generate an arithmetic sequence given the first term and the rule for the nth term
Identify that a sequence is an arithmetic sequence by finding a common difference
Generate the terms of an arithmetic sequence using a calculator
Graph a geometric sequence
Identify that a sequence is a geometric sequence by finding the common ratio
Generate a geometric sequence given the first term and the rule for the nth term
Find nth term of a geometric sequence
Use a calculator to generate a sequence of numbers from recurrence relations and investigate long-term behaviour
Use a calculator to generate a sequence of numbers from a rule
Graph an arithmetic sequence
Generate a sequence from a first-order linear recurrence relation
Use a recurrence model to analyse a simple interest investment or loan with a graphing calculator
Modelling flat rate depreciation with a recurrence relation
Write a rule for determining the nth term for linear growth or decay
Modelling reducing balance depreciation with a recurrence relation
Writing rules for the nth term of a sequence generated from a geometric recurrence relation
Modelling compound interest with a recurrence relation that compounds yearly
Generating terms in a Fibonacci sequence from adjacent terms
Generating terms of a sequence using a second-order recurrence relation
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