Page 54 - DIGITAL BOOK MUHAMMAD AZWARDI NASUTION
P. 54

CONTOH 6:


  c)Hitunglah jumlah 8 suku yang pertama deret geometri



                    2        2
    6 +     2 +         +        +   ....                            6   1−  ( ) 
                                                                                  8
                                                                               1
                    3        9                              S =                3
                                                               8
                                                                         1−    1
                                                                               3
      JAWAB:                                                                   1 

  a =       U =           6                                 S =      6  1−    3 8  

                                                                                    
                                                                       
                 1

            U               2          1                       8            2
  r =            2    =           =                                         3


            U    1          6          3                          =    . 6  3  1  −  1 
                                                                                         
                                                                         2         3 8  

                a( −               n  )                                       1 
                       1 r
  S =                                     ,r            1       =  9  1−      8  

      n
                          −
                      1 r                                                    3    
                                                                       
                                                                  =  9   6561−       1   =   6560      =   8  728
                                                                                        
                                                                           6561               729             729
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