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Answers


               Exercise 4.7                            Exercise 4.9


               1.  6,560                               1.  Tshs 1,348,320;
               2.  4,194,300                              Tshs 1,429,219.20
               3.  − 29,524                            2.  Tshs 480,244.29
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               4.  5                                   3.  Tshs 8,965, 840

               5.  62                                  4.  Tshs 25,154
                      5
               7.  (a)  (5 −  ) 1                      5.  Tshs 17,334,375
                          n
                      2                                6.  Tshs 629,059.60
     ( ) ( ) 1−  1  n+ 1  2 +  n  ( ) 2−  n  −  1      7.  Tshs 1,000,000,00 (1.0  095) n
                   or
                   (b)
           3             − 3                           8.  Tshs 4,776,209.20
                          1
                   (c) 1−                              9.  14 years
                         2 n
     ( ) ( ) 1−  1  n+ 1  3 +  n  1−−  n               10. 9 years
                         ( ) 3
                   or
                   (d)                                 11. Tshs 70070.84
          324            324
                                                       12. 8 years
               8.   r = 2
               9.  G =  −  5, r =  2                           Revision exercise 4
                    1
               10.  n > 1                              1.  A =  3n − 2

               11.  r = 1 or −1                             n
                          9           9                2.  35
               12. (a)  r =  or r = −                       2
                          10         10                3.  n
                                 8
                   (b) G =  8 or −                     4.  (a) 55   (b) 520 1
                        1
      Mathematics for Secondary Schools  1.  (a) 63 or − 6 63   7.  (a) 36 or − 36; 45   1   − 1464.5
                                                       5.  Tshs 9,720,000
                   (c) 79.587
                                                                     n
                                                                  1
                                                       6.  G =
                                                               2
                                                                       or
                                                                 
               Exercise 4.8
                                                            n
                                                                           n−
                                                                          2
                                                                  2
                                                                 
                                                          (b) 1,200 or 1,200;−
                                                                                 1,464
                                                                                −
                   (b) 608 or −
                               608
                                                                    8; 10−
                                                              8 or −
                                                          (c)
                   (c) 6 or −
                                                       8.  1, 2, 4, 8
               2.  16
               3.  49
                                                           x
                                                            (1( x− −
               4.  25
                                                       10.
               5.  10, 40                              9.  −432 x + 1  ) n )
               6.  144                                 11.  2 5050
               7.  150m                                12.  220,500; 231,525
                                                   196                 Student\s Book Form Three
                                                                                          18/09/2025   10:00:16
     MATHEMATIC F3 SB.indd   196
     MATHEMATIC F3 SB.indd   196                                                          18/09/2025   10:00:16
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