Determine If the Infinite Geometric Series Converges or Diverges $$45 + 15 + 5 + \frac { 5 } { 3 } + \ldots$$

question 195

Multiple Choice

Determine if the infinite geometric series converges or diverges. If the series converges, find its sum.
- $$45 + 15 + 5 + \frac { 5 } { 3 } + \ldots$$

• A) converges, 65
• B) converges, \(\frac { 135 } { 2 }\)
• C) converges, \(- \frac { 45 } { 2 }\)
• D) diverges

---

Definitions:

Electrical Stimulation

A therapeutic technique involving the application of electrical current to stimulate or modulate muscle activity and nerve functions.

MRI Scanning

A medical imaging technique used in radiology to form pictures of the anatomy and the physiological processes of the body, utilizing strong magnetic fields and radio waves.

CT Scanning

An imaging procedure that combines a series of X-ray images taken from different angles around the body and uses computer processing to create cross-sectional images of the bones, blood vessels, and soft tissues.

Positron Emission Tomography

An imaging test that uses a radioactive substance to look for disease in the body, especially useful in detecting cancer and examining brain function.