Just try always to make sure, whatever resource you're using, that you are clear on the definitions of that resource's terms and symbols.) In a set, there is no particular order to the elements, and repeated elements are usually discarded as pointless duplicates. Unfortunately, notation doesn't yet seem to have been entirely standardized for this topic. (Your book may use some notation other than what I'm showing here. That is, they'll start at some finite counter, like i = 1.Īs mentioned above, a sequence A with terms a n may also be referred to as " ", but contrary to what you may have learned in other contexts, this "set" is actually an ordered list, not an unordered collection of elements. Infinite sequences customarily have finite lower indices. ![]() When a sequence has no fixed numerical upper index, but instead "goes to infinity" ("infinity" being denoted by that sideways-eight symbol, ∞), the sequence is said to be an "infinite" sequence. Don't assume that every sequence and series will start with an index of n = 1. Or, as in the second example above, the sequence may start with an index value greater than 1. This method of numbering the terms is used, for example, in Javascript arrays. The first listed term in such a case would be called the "zero-eth" term. Note: Sometimes sequences start with an index of n = 0, so the first term is actually a 0. If the position is \(n\), then this is \(2 \times n 1\) which can be written as \(2n 1\). To get from the position to the term, first multiply the position by 2 then add 1. Write out the 2 times tables and compare each term in the sequence to the 2 times tables. A Sequence is a set of things (usually numbers) that are in order. In this sequence it is the 2 times tables. This difference describes the times tables that the sequence is working in. What is a Sequence (GMAT/GRE/CAT/Bank PO/SSC CGL) Dont Memorise Infinity Learn Class 9
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