# Thread: Applications of series and sequences (Superannuation, repayments)

1. ## Applications of series and sequences (Superannuation, repayments)

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) --------------------- 0.1 iii) Sarah decides to withdraw all her funds at the end of 20 years how much will she have? 2. Originally Posted by Misa-Campo 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)
---------------------
0.1

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

3. Originally Posted by Misa-Campo
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) --------------------- 0.1 iii) Sarah decides to withdraw all her funds at the end of 20 years how much will she have? .. 4. Originally Posted by Misa-Campo 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?

iii) Sarah decides to withdraw all her funds at the end of 20 years how much will she have?
iii. See the answer to part ii. but with n=20.

RonL