Articles containing proofs | Sequences and series | Arithmetic series

Arithmetic progression

An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is and the common difference of successive members is , then the -th term of the sequence is given by: , If there are m terms in the AP, then represents the last term which is given by: . A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. (Wikipedia).

Arithmetic progression
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Intro to Geometric Progressions (1 of 3: Definitions)

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Arithmetic Progressions (APs)

Support me on Patreon: https://www.patreon.com/mathsaurus Introduction to Arithmetic progressions, including nth term and term to term definitions. Visit http://www.mathsaurus.com/ for more free GCSE and A-level maths videos and resources. Visit the Mathsaurus Amazon shop at https://www.

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What is the definition of an arithmetic sequence

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General formula for Arithmetic Progressions

Support me on Patreon: https://www.patreon.com/mathsaurus This video describes the general formulae used to describe arithmetic progressions. Visit http://www.mathsaurus.com/ for more free GCSE and A-level maths videos and resources Visit the Mathsaurus Amazon shop at https://www.amazo

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From playlist Mathematics

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Learn to use summation notation for an arithmetic series to find the sum

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Intro to Arithmetic Progressions (1 of 3)

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Linear equations in smooth numbers - Lilian Matthiesen

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From playlist Mathematics

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Introduction to additive combinatorics lecture 11.2 --- Part of the proof of Roth's theorem

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From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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Additive Energy of Regular Measures in One and Higher Dimensions, and the Fractal... - Laura Cladek

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The Green - Tao Theorem (Lecture 1) by D. S. Ramana

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From playlist Workshop on Additive Combinatorics 2020

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Christian Elsholtz: Improved cap constructions, and sets withoutarithmetic progressions

CIRM VIRTUAL CONFERENCE Recorded during the meeting "​ Diophantine Problems, Determinism and Randomness" the November 24, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide

From playlist Diophantine Problems, Determinism and Randomness - CIRM 23/27 November 2020 - Virtual event

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How to find the rule of a arithmetic sequence given two values in the sequence

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The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao

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