Page 17 - Math Grade 11 (Advance)
P. 17

PROEUS DARA


                             0   I   t:::l;l   ';)   Q1
                                                          •
                                                      ,
                                                 ,
                      1.  n.  n rt.IH'l 61 g  n  & 2 fd 61  4  5  7  10  14 , •••   '1
                                  w
                                                   ,
                                            ~
                                            l
                             0   I   C::,   'I)   C))
                      2.  n.  nn.f161~9  n  £2~61  3,  5,  8,  12.  17,  23, ...  '1
                                           1
                         2.  l:in.flSlr:lblitin  n  61ti15b&Shl61tSZ  '1
                                              0
                                                     ""
                                                  "
                                       u    w  u     ~
                                                      1
                                                                          h
                                                         '?   Q1                        t:::»
                                                          tS~61 (a  )  QlSWJ61  t2"Hti:1U1'Hg
                                                                  11
                                                             I                       U
                                     u~wJ61 t'tirntl:lttnim  r:lrnhltlb"th:ntf9  2  ~ts~n '1
                                                                                  1
                          0   '   t:::»   ':I   ~
                         nn.fln~9 n  tS~n (a  )  :  1,  2,  6,  15,  31,  56, ...  '1
                                             11
                                        1
                         n  :      2   3    4   5    6 ...
                    ...
                    ~61 (a  )  :   2    6   15   31    56 ...  '1
                          11
                     1
                         0   •
                 r:lrnhltlrn~m  1  :   4    9   I6    25 ...
                 ffltl  an  th~g n  tS~n (a")  '1  ~n (b  )  dlr:lrnhlbnh:nti  1  tS~n (a")  '1
                                                    11
                                    1          l                             I
                 ""
                 ~n (b  ):  1   4   9   16    25 ...  tSl8  b = 11  2   '1
                       11                                11
                  l
                                             n-1
                                                 2
                 Otmg  11~2  tl:iQlS  all=  a + ~k =  l+~(2n-l)(n-l)n
                                           1
                                             k =  1
                               1
                    tSl8  a,=   (2n-l)(n-l)n+l  '1
                              6




           ~tuJu9 2      n:       2   3    4   5    6 ...
                    ""
                    ~61 (a  ):     2   6    15   31    56 ...
                          11
                     l   0   •
                 r:lrnhltlrn~m 1  :    4    9   16   25 ...
                 r:Jruhltlrut:nti  2:  3   5   7   9
                            Q   'I;)Q~        Ql                 01      "QQ)        eJ
                 ffltl  a  th~g n  tS~61 (a  )  '1  ~n (b  )  dlr:lruhlbblit:il15  1  tS~n (all)  tf:Hl51:llS
                      11                 11         11
                                    I          1                             1
            11!::11   ':J   Q)   dl                        ':>   t::l)   L-<""'f'4    0   I
           ~g n  tS~611:1 b =  an+ -a  '1  ffltJ  e  dlr:Jblihltl~&S~61  (b  )  tu11cfl  r:Jblihlbblit:il15
                          17     1   11       11                   11
                     l                                         1
           9 2  '1  ti:1Cf12~n  (e 11 ):  3,  5,  7,  9, ...  '1  ~61 (c  11 )  dlM61SC1Stf:lru'i:llS619  I  thl 3  sbdrn
                        u                         u          "   "61        w     ...
                         1                        I          l
           hltJS1:jthl2  Sbe =3+2(n-1)=2n+l  '1
              w    ...      11

           12
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