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hi friends in this one im going to show you a couple examples of how to change indexes in sigma notation and summation notation there is a logic and there is reason to this its not just some arbitrary stuff i mean so if you learn it then youll be able to do this pretty reliably so take a look im just going to go with a couple relatively simple examples imagine you have the summation here and lets see im going to go from n equals 1 to for the sake of simplicity just make this three only three simple and then imagine this is n so now when you write this out what does this mean it means n is at first one then you got to go up to three the assumption is you go through the intermediate values so you dont just put one plus three youre gonna put one plus two plus three when you work this out here add these values up you get a value of six so keep a careful eye on this six right here right and now look at this expression in this form its going to be 1 plus 2 plus 3 right here look at