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Mathematics Teaching Material Sequence and Series Grade XI




               D. Summary

               Material Videos












               1. Arithmetic Sequence

               An  arithmetic  sequence  is  a  sequence  of  numbers  in  which  the  difference  between  two
               consecutive terms is the same or constant. The difference between two consecutive terms is

               called the difference (b).







               So the formula for the nth term of an arithmetic sequence is







               Information :   = nth term
                                

                                = Order of Tribes


                                = First Tribe


                                = Difference or difference between tribes

               2. Arithmetic Series


               An arithmetic series is the sum of the numbers in a known arithmetic sequence.If the arithmetic
               sequence isU , U , , … ,U U then the arithmetic series is …, and is denoted by .U + U +
                                         3 n
                                2
                                                                                                 1
                                                                                                      2
                            1
               U + +U   
                 3
                        n   
               The general formula for determining the sum of the first n terms of an arithmetic series is:
                                              n
                                                                       n
                                        S = [2a + (n − 1)b] orS = [a + U ]
                                                                   n
                                                                               n
                                         n
                                                                       2
                                              2
               Information :   = Series/Number of arithmetic sequences
                               
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