Page 201 - Mathematics_Form_3

Answers

17. (a) 14 items of type M, 0 items of Exercise 4.2
type N
(b) Tshs 8,400 1. (a) S = −+ + 2( 1)− n +
2 2 2− +
18. (a) 7 acres of mangoes, 3 acres of (b) 0 n
oranges n
FOR ONLINE READING ONLY
(b) Tshs 3,450,000 2. U = n + 1
n
19. (a) (5, 1) 3. 95

(b) Tshs 3,200,000 4. (a) U = nk (b) 55k
n
20. 0 units of P, 5 units of Q; 5. (a) 243, 729 (b) 1, 1−
Tshs 5,000
5
6. (a) ar (b) u = ar n− 1
n
Chapter Four 7. (a) S = 1 ++ 1 + + ( nn + 1)
1
1
n
2
6 12
3
(b)
Exercise 4.1 4
8. (a) d (b) d
4 5
1. (a) , (c) d (d) u = a + (n − 1)d
5 6 n
1 1 9. (a) r (b) r
(b) , −
16 32 (c) S = a ar ar+ + 2 + + ar n− 1
(c) 720, 5,040 n
(d) a = ar n− 1
(d) 1, − 1 n
10. 910
2. U = 3n − 1 1. (a) Not an AP
Exercise 4.3
n
Mathematics for Secondary Schools 5. 3, 7, 11, 15, 19 (b) AP with d = −
3n
3. U =
n
4. 21
7
(c) Not an AP
1
n+
6. U =
( ) 1−
n
(d) Not an AP
7. 7
(e) AP with d =
8. U =
1
0.7
4n −
n
5
11 25
(f) AP with d = −
9.
8
4
2
1
1
n
10. 1, , , 1, ; neither 2. 5, 12, 19, 26, 33, A = 7n − 2
3 3 3. (a) 5 (b) 32 (c) 92
4. A = 4n − 1
n
194 Student\s Book Form Three
18/09/2025 10:00:15
MATHEMATIC F3 SB.indd 194 18/09/2025 10:00:15
MATHEMATIC F3 SB.indd 194