Geometric Sequence

Overview

A geometric sequence $(a_n{)}_{n\ge 0}^r$ is a sequence in which each term differs by a constant multiple of $r$. Given initial term $a$, it has recursive definition $a_n=r{a}_{n-1}\text{ with }{a}_0=a$ and closed formula $a_n=a{r}^n.$

Bibliography

• Oscar Levin, Discrete Mathematics: An Open Introduction, 3rd ed., n.d., https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf.