Page 17 - Practicum 5_Buku Digital Flip pdf_Grace Margareth_Arithmetic Sequence and Series Grade XI
P. 17

Mathematics Teaching Material Sequence and Series Grade XI




               The difference between two consecutive terms is called the difference (b).

               Formula :         =    −   
                                         1
                                    2
                                 =    −                        b =   −         −  
                                    3
                                                                        
                                         2
                                 =    −   
                                    4
                                         3
                              Dst
               If the first term = a and difference = b, then in general the arithmetic sequence is:

                                                                                         
                                                            3
                                              2
                               1
                                                                           4
                                                                                           
                                ,                    +                 + 2  ,              + 3  , ……    + (   − 1)  
               Formula for Determining the nth Term of an Arithmetic Sequence:


                                             =    + (   − 1)  
                                              

                         Description :    = Value of term   
                                         
                                                            
                                         = Order of term

                                         = First term

                                         = Difference or difference between term


               If the number of terms (n) is odd, the middle term (   )The arithmetic sequence can be
                                                                    
               formulated as follows.

                                           1                        1
                                         = (   +    )                 = (   + 1)
                                         
                                                      
                                           2                        2




























                                                                                                            16
   12   13   14   15   16   17   18   19   20   21   22