![]() ![]() Written this whole thing out, but you can imagine it becomesĪ lot harder if you wanted to find the sum of So let's say you want toįind the sum of the first 10 numbers. To find a sum of some terms, and these terms have a pattern. Which will be used extensively through your Video is introduce you to the idea of Sigma notation, Summarized, I wouldn't go as far as calling the usage of negative indices and boundaries as 'wrong', but it will at least raise some eye brows. Since the sigma notation is basically just a convention to write out long sums in a short way, it's probably best to stick to the prevailing convention of using non-negative indices and boundaries only. a-5).Ģ) I've never seen the usage of negative indices or boundaries in any text book. It would be more than unconventional to use negative indices for these terms (e.g. a1 for the first term, a2 for the second one, and so on). However, I would rather avoid doing so for several reasons:ġ) The sigma notation basically represents the terms of a series, and each term is usually associated with a letter and the corresponding index (e.g. The definition of the sigma notation seems to be surprisingly vague, and I couldn't find anything that would explicitly prohibit the usage of negative indices or negative boundaries, as long as they are used in a consistent way (lower boundary < upper boundary). ![]()
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