Finding Term n in a Sequence Modelling Geometric Growth and Decay (VCE SSCE General Mathematics): Quizzes

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Finding Term n in a Sequence Modelling Geometric Growth and Decay
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In the formula Vn=Rn×V0V_n = R^n \times V_0, what does V0V_0 represent?

The initial value

What does R>1R > 1 indicate in a geometric sequence?

Growth (value increases)

For compound interest, what is the common ratio RR if interest rate is rr%?

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

What is the common ratio RR for reducing-balance depreciation at rate rr%?

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

An investment of 1000 USD at 10% for 15 years grows to approximately what value?

4177 USD

Monthly compounding vs annual compounding produces what result for same rate and time?

Higher final value

What denominator is used for daily credit card interest at rr% annual rate?

36500

How is total interest earned after nn periods calculated?

VnV0V_n - V_0

Milk costs 1.70 USD today. At 2.1% inflation for 20 years, what's the future price?

2.58 USD

100,000 USD in 8 years at 3.7% inflation has what current purchasing power (nearest 1000)?

75,000 USD

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