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Summation Notations

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

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Note by Niranjan Khanderia
2 years, 9 months ago

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