Summation Notations

∑i=knf(i)=∑i=k+pn+pf(i−p)    We change  i  from the initial  k  to  (k+p)  \displaystyle \sum_{i=k}^{n}f(i) = \sum_{i=k+p}^{n+p}f(i-p)~~~~We~change~~ i~~ from~the~initial~~k~~to~~(k+p)~~
and   final  from  n  to  (n+p)  while in the function  (i−p)  replaces  i.\displaystyle and~~~final~~from~~n~~to~~(n+p)~~while~ in~the~function~~(i-p)~~replaces~~i.
      p is any +tive or −tive integer.\displaystyle ~~~~~~ p~ is~any~ +tive~ or~- tive~ integer.
Summation can be split as follows:−∑i=knf(i)=∑i=krf(i)+∑i=r+1nf(i)\displaystyle Summation~can~be~split~as~follows:- \sum_{i=k}^{n}f(i) = \sum_{i=k}^{r}f(i)+ \sum_{i=r+1}^{n}f(i)

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#Summation

Note by Niranjan Khanderia
7 years, 2 months ago

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