Question: At the beginning of each year, Sarah will deposit $1000 in a fund paying 10% each year compound interest:

i) What will be the value of Sarah's first deposit when it has been invest for n years?

ii) Show that after n years the total value of all her deposits will be

1000(1.1)((1.1^n)-1)

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0.1

iii) Sarah decides to withdraw all her funds at the end of 20 years how much will she have?