Write $0 . \overline { 2 }$ as an infinite geometric series.
A) $22 + 2.2 + 2.22 + 2.222 + \ldots$
B) $0.2 + 0.02 + 0.002 + \ldots$
C) $0.2 + 0.22 + 0.222 + \ldots$
D) $0.02 + 0.002 + 0.002 + \ldots$

Question

Quizplus · Accepted Answer

The correct representation of $0.\overline{2}$ as an infinite geometric series is $0.2 + 0.02 + 0.002 + \ldots$, where each term is $1/10^{th}$ of the previous term, starting with 0.2.

Write 0.2‾0 . \overline { 2 }0.2 As an Infinite Geometric Series

Write $0 . \overline { 2 }$ As an Infinite Geometric Series