Page 118 - Mathematics_Form_3

Sequences and series
22. If Aa = 5n − is the n term of a
3
th
n n
certain AP, find the sum of the
first 20 terms.
23. The third term of a GP is 8,
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determine the common ratio and
the sum of the first five terms if
the ratio of the sum of the first
three terms of the series and the
sum of the next three terms is
8: 27.
24. A carpenter working on a tall
building accidentally drops a
harmer. If the hammer falls 3m
during the first second, 13m in
the second, 23m on the third
second, and continues to fall at
this rate. Find:
(a) the distance it fell in the 8
th
second
(b) the total distance fallen in
10 seconds
25. A tyre has a slow puncture where
1
by it losses of air each day.
20
Find the percentage of air
remaining in tyre after 5 days.
Student\s Book Form Three 111
MATHEMATIC F3 SB.indd 111
MATHEMATIC F3 SB.indd 111
26. In the last census, the population
of a certain locality was 28,562.
If the population grows at the
rate of 3%, find the population
after 10 years.
27. The value of a brand-new
motorcycle depreciates at the rate
of 10% per annum. After how
3
many years will its value be
of its original value? 4
28. A farmer harvested 500 bags of
maize this year. After attending
a workshop, he expects that in
the coming years, the production
in subsequent year will be 10%
more than in the previous year.
(a) How much does he expect
th
to produce in the 5 year?
(b) In which year will he
harvest more than 570
bags?
Mathematics for Secondary Schools
18/09/2025 09:59:30
18/09/2025 09:59:30