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Grade 11

Simple interest using recursive formula

Interactive practice questions

An investment of $\$6000$$6000 pays simple interest at a rate of $4.2%$4.2% per annum and is modelled by the recurrence relation

$V_n=V_{n-1}+252$Vn=Vn1+252, $V_0=6000$V0=6000

where $V_n$Vn is the value of the investment after $n$n years.

Use the sequence facility on your calculator to answer the following questions.

a

Calculate the value of the investment after $5$5 years.

b

How much interest has been earned in $5$5 years?

c

After how many years will the investment double?

Your answer should be a whole number.

Easy
3min

An investment of $\$3000$$3000 pays simple interest at a rate of $7.7%$7.7% per annum and is modelled by the recurrence relation

$V_n=V_{n-1}+231$Vn=Vn1+231, $V_0=3000$V0=3000

where $V_n$Vn is the value of the investment after $n$n years.

Use the sequence facility on your calculator to answer the following questions.

Easy
4min

An investment pays simple interest annually and is modelled by the recurrence relation

$V_n=V_{n-1}+2310$Vn=Vn1+2310, $V_0=30000$V0=30000

where $V_n$Vn is the value of the investment after $n$n years.

Easy
1min

An investment pays simple interest annually and is modelled by the recurrence relation

$V_n=V_{n-1}+468$Vn=Vn1+468, $V_0=9000$V0=9000

where $V_n$Vn is the value of the investment after $n$n years.

Easy
2min
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Outcomes

11U.C.3.1

Make and describe connections between simple interest, arithmetic sequences, and linear growth, through investigation with technology

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