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Model a simple-interest investment or loan with a recurrence relation

Question 1 of 8

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A wedding savings account pays simple interest at 6% p.a. Jack opens one with $34,157.50

This is modelled with a recurrence relation below, where \(V_n\) is the balance after \(n\) years:

\[V_0 = \$34{,}157.50\]
\[V_{n+1} = V_n + \$2{,}049.45\]
3 marks

Complete the table below, showing the balance at the end of each year

YearBalance
0$34,157.50
1?
2?
3?