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Mathematics · Glossary

What is Arithmetic and geometric sequences?

Also known as: sequence arithmetic · sequence geometric

Definition 20.8 High School Mathematics · Chapter 20 — Sequences

A sequence $(u_n)$ is arithmetic with common difference $r$ if $u_{n+1} = u_n + r$ for all $n$ , and geometric with common ratio $q$ if $u_{n+1} = q\,u_n$ for all $n$ .

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