- Mathematics Advanced
- Year 12
Series and Applications
approx. 8 hrs
6 topics
17 concepts
Become accomplished with Series and Applications for your Trial and HSC examinations.
approx. 8 hrs
6 topics
17 concepts
Become accomplished with Series and Applications for your Trial and HSC examinations.
This learning program covers the Year 12 Mathematics Advanced, Series and Applications topic as specified in the NSW Mathematics syllabus. In Year 12 Series and Applications, students apply appropriate techniques from the study of series to solve complex problems.
This learning program is made up of the following 6 topics, broken down into 17 concepts.
Derive a formula for the nth term of a series
Use sigma notation to determine number of terms in a series
Convert from sigma notation to expanded form
Convert from expanded form to sigma notation
Sum of an arithmetic progression
Identify that a sequence is an arithmetic sequence by finding a common difference
Find the nth term of an arithmetic sequence
Sum of a geometric series
Find nth term of a geometric sequence
Identify that a sequence is a geometric sequence by finding the common ratio
Finding the limiting sum of an infinite geometric series
Find the condition for an infinite geometric series to converge
Finding the rational form of a recurring decimal using infinite geometric series
Miscellaneous application problems for arithmetic and geometric series
Compound interest applications
Annuities applications
Loan repayment applications
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