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What is a sequencer?

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Anonymous

14y ago
Updated: 8/19/2019

A group of numbers in order. Usually, when talking about sequences, people talk about infinite sequences: a sequence that never ends (it has a first number, a second number, and an Nth number for any N, with no last number). There's no restriction of what the numbers are - they can be anything, and don't have to follow any pattern. But in practice, if you want to talk about a specific sequence, you'd need some rule for calculating the numbers in it. For example, you could have the sequence whose Nth term is 1/N. Sometimes sequences are taken to start with a 0th term rather than a first term. This is a question of notation, and doesn't really change anything about how sequences work. You can also think of a sequence as a function from the natural numbers {1,2,3,...} or {0,1,2,3,...} to whatever the sequence is of (usually real numbers, or sometimes complex numbers). For this reason, sequences are also called arithmetical functions. The most common way to write the nth term of a sequence is an (for one sequence; if you need to talk about more sequences, you'd write bn or cn)

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Shea Kreiger

Lvl 9
3y ago

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