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

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Using an Explicit Rule for Geometric Growth or Decay
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General explicit rule for geometric sequences

Vn=Rn×V0V_n = R^n \times V_0

What V0V_0 represents in explicit rule

Initial value or starting value

What RR represents in explicit rule

Common ratio or growth/decay multiplier

Condition for growth in geometric sequence

R>1R > 1

Condition for decay in geometric sequence

R<1R < 1

Growth multiplier RR for compound interest rate r%r\%

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

Decay multiplier RR for depreciation rate r%r\%

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

How to find interest earned in a specific year

Calculate difference between consecutive terms

When value must exceed amount, how to round nn

Round up to the next whole year

Multiple calculator solutions for rate - which to choose?

Choose the value that makes practical sense in context

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