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

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Finance Applications Using Arithmetic Sequences and Recurrence Relations
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Linear growth definition

Quantity increases by same fixed amount at regular intervals

Linear decay definition

Quantity decreases by same fixed amount at regular intervals

Simple interest definition

Interest based only on original amount (principal)

Formula for DD in simple interest

D=r100×V0D = \frac{r}{100} \times V_0

Simple interest recurrence relation

V0=PV_0 = P, Vn+1=Vn+DV_{n+1} = V_n + D

Flat rate depreciation definition

Asset loses same fixed amount of value each period

Flat rate depreciation recurrence relation

Vn+1=VnDV_{n+1} = V_n - D

Unit cost depreciation definition

Asset value decreases based on usage, not age

Direct formula for nnth term

Vn=V0+n×DV_n = V_0 + n \times D

Sign of DD for growth vs decay

Growth: D>0D > 0; Decay: D<0D < 0

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