Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } - 2 ^ { n } x ^ { n }$$

question 141

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } - 2 ^ { n } x ^ { n }$$

• A) \(\frac { 2 } { 1 - 2 x }\)
• B) \(\frac { 1 } { 1 + 2 x }\)
• C) \(\frac { 2 } { 1 + 2 x }\)
• D) \(\frac { 1 } { 1 - 2 x }\)

---

Definitions:

Factual Determinations

The process of finding the facts of the case, often decided by the jury or judge in a court proceeding.

ALJ Decisions

Rulings or judgments made by Administrative Law Judges, who conduct trial-like hearings within administrative agencies.

Findings of Fact

Are the conclusions reached by a judge or jury on the factual issues of a case.

Agency Rules

Regulations established by government agencies which have the force of law and are created to implement the will of Congress or state legislatures.