Page 202 - Mathematics_Form_3

Answers

5. (a) 5 (b) 403 Exercise 4.5
(c) A = 2n + 3
n
1. (a) 25 (b) 2
6. (a) 13 (b) 10
(c) 60 KM− K 2 (d) (K K − or M )
(c) 47
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7. A = 3nx+− 1 (e) 0 (f) 1
n
2. 20
8. 29
3. 6, 9, 12
9. 19
4. 20 d− , 20, 20 d+ where d ∈ 
10. 66
11. A = 4n + 2 5. 19, 21, 23
n
6. m = 40, y = 56
th
12. 19 term
Exercise 4.6
13. −3
14. 2, 14 and 26 1. (a) A GP, r = 3

15. 48 cm (b) Not a GP
(c) A GP, r = − 2
16. (a) 10500000 − 500000n
(d) Not a GP
(b) Tshs 5,500,000 1
2. (a) r =± 3 (b) G =±
(c) 16 years 1 3
1
3. −
Exercise 4.4 64
4. 9
1. (a) 420 (b) 121a (c) 250.5 5. Tshs 205,539
2. 8
6. −4374
3. (a) Tshs 1,938,500
(b) Tshs 29,569,500 25
7.
4. n = 14, d = 4 4
8. Tshs 8,848,492.65
5. d = 2, S = 220 9. (a) 6 (b) 4 (c) 186,624
10
6. 10 10. (a) 8 (b) 11 (c) 7 Mathematics for Secondary Schools
7. 58 11. 10,935
16
8. (a) 8; 216 (b) 9 12. r = 2, G = 4
1
(c) S = n (20 n− ) 13. xy n− 1
n
9. 5, 8, and 11 14. 6
10. 1 : 2 1
15. G = 3, r = 2 or G = 12, r =
12. 83 1 1 2
13. a = 8, d = 10 16. G = 13 ( 2 n− 7 )
1
n

Student\s Book Form Three 195

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MATHEMATIC F3 SB.indd 195 18/09/2025 10:00:15
MATHEMATIC F3 SB.indd 195