Page 226 - aljaber
P. 226

RQS@    @pþÝn¾aì@pbÉibnn¾a                        ()
a2011  a4 = a3 + d = a1 + 3d                              .

         an = a1 + (n − 1)d
             2, 9, 16, 23, 30, …

       9 − 2 = 16 − 9 = 23 − 16 = 30 − 23 = 7

                                            .d = 7  a1 = 2
       . a2011 = a1 + 2010d = 2 + 2010 × 7 = 14072

                                             a,b,c

       b −a = c −b

                          2b = a + c

                          b = a +c
                                  2

       (arithmetic mean)

                                          .

                          3k + 1, k, − 3            ()
                                                    .k
   221   222   223   224   225   226   227   228   229   230   231