Page 17 - Math SL HB Sem 1
P. 17

AN



                   ARITHMETIC       MEAN


                   If a, b  ,  c are three  consecutive  terms in an arithmetic  sequence,  then b is the arithmetic
                   mean of a and c where

                                         b:   a+c
                                                2



                   Examples:  (a)  Consider  the sequence  lO  14  lg
                                                             ,   ,   ,22
                                   14 andl8 are two arithmetic  means between l0 and 22
                              (b)  Consider  the sequence  l0
                                                                         ,
                                                            ,12 ,  14, 16  l  g  , 20
                                   12, 14,16,18  and 20 are five arithmetic  means  between l0 and 22
                  Dxarnple  I  Find the
                                        arithmetic ntean belween 3  and 25




















                 Example 2: Find [our arithmeti c means that lies between 3 and 23.
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