Last updated on Sep 21, 2026

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

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Using an Explicit Rule for Linear Growth or Decay

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

Calculates any term directly

What is the explicit rule for linear growth?

$V_n = V_0 + nD$

What is the explicit rule for linear decay?

$V_n = V_0 - nD$

Convert to explicit rule: $V_0 = 8$ , $V_{n+1} = V_n + 3$

$V_n = 8 + 3n$

Convert to explicit rule: $V_0 = 400$ , $V_{n+1} = V_n - 12$

$V_n = 400 - 12n$

Is $V_{n+1} = V_n + 100$ linear growth or decay?

Linear growth

For 6000 USD at 17.5% simple interest, what is $D$ ?

1050

For 3000 USD depreciating at 6.5% flat rate, what is $D$ ?

195

What does unit cost depreciation depend on?

Usage rather than time

In an explicit rule, what does the coefficient of $n$ represent?

The common difference

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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