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everbody in this one lets take a look at rewriting summation notation by changing index its a bit of a tricky thing for some people so lets look at some examples of how that works imagine we have the summation here say from N equals 0 to 3 I even make it to for the sake of simplicity and imagine that its X to the N lets write out a few terms this will help us understand how to rewrite the summation then beginning say from a different value of n and ending in a different value of n so here what this means is the following that we have when N equals 0 so N equals 0 that means I have I will have X to the 0 plus when N equals 1 Im going to have X to the first and then plus and when N equals 2 Im gonna have x squared lets clean this up a tiny amounts Im gonna have here X to the 0 basically is 1 so Im gonna say 1 plus X plus x squared so this is the important part whatever we do in the end has to produce the same three terms in other words a 1 and X to the first of the next squar
