Find the Sum of the Geometric Series, If Possible $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 } { 4 } \right) ^ { n - 1 }$$

question 169

Multiple Choice

Find the sum of the geometric series, if possible.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 } { 4 } \right) ^ { n - 1 }$$

• A) Sum does not exist
• B) \(\frac { 1 } { 4 }\)
• C) 4
• D) 3

---

Definitions:

Environmental Initiative

An environmental initiative is a project or program aimed at promoting sustainability, conserving natural resources, reducing pollution, and protecting ecosystems.

Margin of Error

An expression of the amount of random sampling error in a survey's results, indicating the range of accuracy.

Sample Size

The number of individuals or observations included in a sample, which is a subset of a larger population for the purpose of statistical analysis.

Weight Loss Program

A structured plan designed to help individuals lose weight, often including dietary changes, exercise, and behavioral strategies.