1 2 3 4 5 6 sequence name 1 2 3 4 is a very simple sequence and it is an infinite sequence 20 25 30 35 is also an infinite sequence 1 3 5 7 is the sequence of the first 4 odd numbers and is a finite sequence 4 3 2 1 is 4 to 1 backwards 1 2 4 8 16 32 is an infinite sequence where every term doubles
The On Line Encyclopedia of Integer Sequences OEIS Enter a sequence word or sequence number Hints Welcome Video For more information about the Encyclopedia see the Welcome page Languages English Shqip Bangla Catal 1 2 Here are a few lists of numbers 3 5 7 21 16 11 6 1 2 4 8 Ordered lists of numbers like these are called sequences Each number in a sequence is called a term Sequences usually have patterns that allow us to predict what the next term might be For example in the sequence 3 5 7 you always add two to get the
1 2 3 4 5 6 sequence name
1 2 3 4 5 6 sequence name
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A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule If a1 a2 a3 a4 etc denote the terms of a sequence then 1 2 3 4 denotes the position of the term A sequence can be defined based on the number of terms i e either finite sequence or infinite A 3 1 1 2 a 4 2 1 3 a 5 3 2 5 a 6 5 3 8 a 7 8 5 13 begin split a 3 1 1 2 a 4 2 1 3 a 5 3 2 5 a 6 5 3 8 a 7 8 5 13 end split a 3 a 4 a 5 a 6 a 7 1 1 2 2 1 3 3 2 5 5 3 8 8 5 13
For instance 1 2 3 4 is a sequence with terms 1 2 3 and 4 the corresponding series is the sum 1 2 3 4 and the value of the series is 10 A sequence may be named or referred to by an upper case letter such as A or S Introduction Learn about some of the most fascinating patterns in mathematics from triangle numbers to the Fibonacci sequence and Pascal s triangle
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Glossary Contributors and Attributions In this section we introduce sequences and define what it means for a sequence to converge or diverge We show how to find limits of sequences that converge often by using the properties of limits for functions discussed earlier A sequence is an ordered set with members called terms Usually the terms are numbers A sequence can have infinite terms An example of a sequence is 1 2 3 4 5 6 7 8 dots There are different types of sequences For example an arithmetic sequence is when the difference between any two consecutive terms
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1 2 3 4 5 6 sequence name - Introduction Learn about some of the most fascinating patterns in mathematics from triangle numbers to the Fibonacci sequence and Pascal s triangle