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Linear and quadratic sequences
Linear and quadratic sequences

A(3)
A(3)

... Paired Practice – Follow the directions carefully. Raise your hand if you need help. 1. Write the first four terms of any arithmetic sequence on a separate sheet of paper. 2. In your notebook, find the first 10 terms of that sequence. 3. Swap with your partner. Write a recursive formula that could ...
Problem 2 – Tribonacci Triangle
Problem 2 – Tribonacci Triangle

... You all know the Fibonacci sequence. Well, the Tribonacci sequence is almost the same, but it uses the last three numbers (instead of the last two) to calculate the next number in the sequence. So, we can define each element in the sequence as: ...
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2 Sequences and Accumulation Points

... Arithmetic of Converging Sequences ...
arXiv:1003.5939v1 [math.CO] 30 Mar 2010
arXiv:1003.5939v1 [math.CO] 30 Mar 2010

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HT1 - Maths Task - Horsforth School

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Solutions for Review problems (Chpt. 3 and 4) (pdf file)

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Some Very Interesting Sequences

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1. The numbers in this sequence increase by 75 each time. Write in

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Fibonacci mod k

Fibonacci modk
Fibonacci modk

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Using Differences to Identify Patterns

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Ch 5 Closure – Sequences VOCABULARY: arithmetic sequence

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Counting, Permutations, & Combinations

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Grade 6 Math Circles The History of Math: Gauss Carl

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Fibonacci Sequence and Fractal Spirals

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Sequences - Mater Academy Lakes High School

... Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Domain Algebra: Seeing Structure in Expressions Cluster Write expressions in equivalent forms to solve problems ...
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Meet 4 - Category 3 (Number Theory)

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Real Analysis: Basic Concepts
Real Analysis: Basic Concepts

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Recursive sequences By Wu laoshi in Paris in January 2009

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12-1 Define and Use Sequences and Series

Counting, Permutations, & Combinations
Counting, Permutations, & Combinations

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Sequence



In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is a countable totally ordered set, such as the natural numbers.For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,...). In computing and computer science, finite sequences are sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them into computer memory; infinite sequences are also called streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context.
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