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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
3 years, 9 months ago

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