1/2 + 1/4 + 1/8 + 1/16 + ⋯
id:
1-2-1-4-1-8-1-16-206-6254681
title:
1/2 + 1/4 + 1/8 + 1/16 + ⋯
text:
In mathematics, the infinite series 1/2 + 1/4 + 1/8 + 1/16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
In summation notation, this may be expressed as
- 1 2 + 1 4 + 1 8 + 1 16 + ⋯ = ∑ n = 1 ∞ n = 1. The series is related to philosophical questions considered in antiquity, particularly to Zeno's paradoxes.
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical infinite series
original url:
https://en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/16_%2B_%E2%8B%AF
date created:
2007-03-15T18:59:08Z
date modified:
2024-09-10T15:19:21Z
main entity:
{"identifier":"Q3817754","url":"https://www.wikidata.org/entity/Q3817754"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/70/Eye_of_Horus_square.png","width":387,"height":387}
fields total:
13
integrity:
16