Modelling Geometric Growth and Decay (VCE SSCE General Mathematics): Flashcards

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Modelling Geometric Growth and Decay
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Geometric growth/decay

Quantity changes by same % at regular intervals

Recurrence relation

Formula defining term from previous term(s)

Common ratio

Fixed multiplier between consecutive terms

Meaning of R>1R > 1

Geometric growth

Meaning of R<1R < 1

Geometric decay

Compound interest

Interest added to principal, then earns interest

RR for compound interest (rate rr%)

R=1+r100R = 1 + \frac{r}{100}

Reducing balance depreciation

Value drops by fixed % of previous year's value

RR for reducing balance depreciation (rate rr%)

R=1−r100R = 1 - \frac{r}{100}

Geometric recurrence relation form

V0=initial,Vn+1=RVnV_0 = \text{initial}, V_{n+1} = RV_n

Explore VCE SSCE General Mathematics Revision Notes by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

Explore VCE SSCE General Mathematics Model Answers by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

Explore VCE SSCE General Mathematics Quizzes by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

Explore VCE SSCE General Mathematics Exam Questions by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

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