Page 115 - Mathematics_Form_3

Sequences and series

3. Find the amount of money 10. How many years will an investment
accumulated after investing for of 250,000 Tanzanian shillings
6 years a principal of 5,650,000 double itself if it is invested at 8%
Tanzanian shillings at an interest compounded annually?
rate of 8% compounded annually.
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11. How much money would you need
4. Find the difference in the amount to deposit at 9% annual interest
of money accumulated at the end of
compounded monthly to have Tshs
the third and fifth years if 120,000
120,000 in the account after 6 years.
Tanzanian shillings is invested at 8%
interest rate compounded annually. 12. Suppose that Tshs 500,000 is
deposited into an account paying
5. Find the amount of money
6% annual interest compounded
accumulated at the end of two
quarterly. How long will the amount
years if a principal of 15,000,000
take to be Tshs 800,000?
Tanzanian shillings is invested at
7.5% interest rate compounded
annually.
Chapter summary
6. The amount of 843,000 Tanzanian
shillings was collected after 1. An arithmetic sequence or
investing a certain amount of arithmetic progression is a
money at an interest rate of 10% sequence in which the difference
compounded semi-annually for 3 between any two consecutive
years. What was the initial principal terms is the same.
invested?
2. The general term of an AP is given
7. Find the amount of money at the by A = A + (n − 1 ) d , where A
Mathematics for Secondary Schools 8. Find the amount of money at the end 3. An arithmetic series is the sum of
1
n
end of n years if 1,000,000,000
n
is the n term, A the first term, n
th
Tanzanian shillings is invested at
1
is the number of terms, and d is the
9.5% interest rate compounded
common difference.
annually.
terms of an arithmetic progression.
of 3 years, if a principal of 4,000,000
Tanzanian shillings is invested at
4. The formula for computing the
6% interest rate compounded semi-
annually.
n
) ) d
(n −
1
given by S =
(2A +
9. How long will it take for a sum of sum of the first n terms of an AP is
n
1
2
money to double itself at 5% per n
n
annum compound interest rate? or S = 2 ( A + A n ) .
1
108 Student\s Book Form Three
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