Finance Applications Using Geometric Sequences and Recurrence Relations (VCE SSCE General Mathematics): Flashcards

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Finance Applications Using Geometric Sequences and Recurrence Relations
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Geometric growth/decay occurs when

Quantity changes by same % at regular intervals

RR value for geometric growth

R>1R > 1

RR value for geometric decay

0<R<10 < R < 1

Compound interest RR formula

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

Reducing-balance depreciation RR formula

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

Why plus sign in compound interest RR

Adding interest rate because value grows

Why minus sign in depreciation RR

Subtracting rate because value decreases

Quarterly compounding: annual rate adjustment

Divide annual rate by 4

Monthly compounding: annual rate adjustment

Divide annual rate by 12

Common finance examples of geometric patterns

Compound interest and reducing-balance depreciation

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