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Thursday, May 2, 2013

Infinite Summation

Infinite  Summation     A. Introduction               IB  Math  SL  Portfolio  -­?  Type  I   Aim:  In  this  task,  you  will  investigate  the  sum  of   unconditioned  sequences    ,  where       A  notation  that  you  may  find  helpful  in  this  task  is  the  factorial  notation   ,  defined  by         B. image  the  following  sequence  of  terms  where       I.  and   .                      e.g.  5        Note  that  0     Calculate  the  sum    of  the  first  n  terms  of  the   preceding(prenominal)  sequence  for   .    Give  your  answers   correct  to   half a dozen  decimal  places.       victimisation  technology,  plot  the  relation  between    and  n.     observe  what  you  notice  from  your  plot.     What  does  this   propose  about  the  value  of    as  n  approaches   ?   II.   C.
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Consider   approximately other  sequence  of  terms  where       I.  and   .     Calculate  the  sum    of  the  first  n  terms  of  the  above  sequence  for   .    Give  your  answers   correct  to  six  decimal  places.     Using  technology,  plot  the  relation  between    and  n.    Describe  what  you  notice  from  your  plot.     What  does  this  suggest  about  the  value  of    as  n  approaches   ?   II.   D. Now  consider  a  general  sequence  where      ...If you indigence to get a full essay, order it on our website: Orderessay

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