Last updated on Sep 21, 2026

Using an Explicit Rule for Geometric Growth or Decay (VCE SSCE General Mathematics): Quizzes

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Using an Explicit Rule for Geometric Growth or Decay

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What is the main advantage of using an explicit rule for geometric sequences?

Find any term without prior terms

In the general explicit rule $V_n = R^n \times V_0$ , what does $R$ represent?

The common ratio or multiplier

If $R = 0.85$ in a geometric sequence, what does this indicate?

Decay (values decrease)

Write the explicit rule for $V_0 = 8$ , $V_{n+1} = 3V_n$ .

$V_n = 3^n \times 8$

For compound interest at 9% per annum, what is the growth multiplier $R$ ?

$1.09$

For 20% reducing balance depreciation, what is the decay multiplier $R$ ?

$0.8$

Using $V_n = 1.06^n \times 5000$ , find $V_3$ to nearest cent.

5955.08 USD

An investment grows from 10000 USD to 14115.82 USD. How to find total interest earned?

Subtract principal from final value

To find interest earned in the fourth year only, what should you calculate?

$V_4 - V_3$

If $n = 8.0661$ years for investment to reach 8000 USD, when does it exceed 8000 USD?

After 9 years

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 Flashcards 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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