Determine Whether the Infinite Geometric Series Converges $$\frac { 1 } { 4096 } + \frac { 1 } { 512 } + \frac { 1 } { 64 } + \frac { 1 } { 8 } + \ldots$$

question 58

Multiple Choice

Determine whether the infinite geometric series converges. If the series converges, determine the limit.
- $$\frac { 1 } { 4096 } + \frac { 1 } { 512 } + \frac { 1 } { 64 } + \frac { 1 } { 8 } + \ldots$$

• A) Converges; \(\frac { 1 } { 1536 }\)
• B) Converges; \(\frac { 4096 } { 3 }\)
• C) Diverges
• D) Converges; 2

---

Definitions:

Distribution

The way in which something is shared out or spread across a range, often referring to the probability distribution of a variable.

Histogram

A graphical representation of the distribution of numerical data, typically showing the frequency of data within specified intervals.

Statistica Neerlandica

A peer-reviewed scientific journal covering research in all areas of statistics.

Colorectal Cancer

A type of cancer that starts in the colon or rectum, parts of the large intestine, characterized by the growth of polyps that can become cancerous over time.