Determine Whether the Infinite Geometric Series Converges or Diverges $$4 - 1 + \frac { 1 } { 4 } - \cdots$$

question 110

Multiple Choice

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
- $$4 - 1 + \frac { 1 } { 4 } - \cdots$$

• A) Converges; - 1
• B) Converges; 4
• C) Converges; \(\frac { 16 } { 5 }\)
• D) Converges; 3

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Definitions:

Island Arc

A curved series of volcanic islands located at a tectonic plate boundary, typically formed above a subducting plate.

Convergent Plate Boundary

A region where two tectonic plates move towards each other, often causing earthquakes and forming mountains.

Oceanic Trench

A deep, narrow depression in the ocean floor, usually occurring at subduction zones where one tectonic plate is being forced under another.

Island Chain

A series of islands formed close to each other, often as a result of volcanic activity.