Course: Year 12 Mathematics Advanced

Sequences, Series and Financial Mathematics

A HSC-focused pathway through arithmetic and geometric sequences, finite series, sigma notation, limiting sums, and financial applications involving compound interest, depreciation and annuity-style payments.

Active lessons

5

Planned lessons

5

Lesson sequence

Learn -> Guided Practice -> Independent Practice -> Mastery Quiz

How to use this unit

  • Review term rules before moving into series totals.
  • Separate term, sum and limiting-sum questions before choosing a formula.
  • Use the financial lesson to connect growth factors and annuity timing to series work.
  • In money contexts, check whether values are deposits, balances, repayments or totals.

What this unit covers

Arithmetic nth-term rules
Geometric nth-term rules
Sequence classification
Arithmetic series
Geometric series
Sigma notation
Limiting sums
Compound interest
Depreciation
Annuity timing
Financial growth factors
Mixed HSC-style practice

Unit pathway

Lesson pathway

5 of 5 active

  1. Lesson 1

    Arithmetic and Geometric Sequences Review

    Review nth-term notation, arithmetic and geometric patterns, and HSC-style interpretation.

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  2. Lesson 2

    Arithmetic and Geometric Series

    Evaluate finite arithmetic and geometric sums, including sigma notation and contextual totals.

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  3. Lesson 3

    Limiting Sums and Infinite Series

    Decide when an infinite geometric series converges and use limiting sums in context.

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  4. Lesson 4

    Sequences and Series in Financial Mathematics

    Connect compound interest, depreciation and annuity timing to sequence and series models.

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  5. Lesson 5

    Sequences, Series and Financial Mathematics Exam Practice

    Practise mixed HSC-style sequence, series, limiting sum and financial mathematics questions.

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