Determine Whether the Geometric Series Converges or Diverges $$\sum _ { n = 0 } ^ { \infty } 3 ^ { n } 4 ^ { - n + 1 }$$

question 30

Multiple Choice

Determine whether the geometric series converges or diverges.If it converges, find its sum. $$\sum _ { n = 0 } ^ { \infty } 3 ^ { n } 4 ^ { - n + 1 }$$

• A) 12
• B) Diverges
• C) 3
• D) 16

---

Definitions:

Gear Components

The individual parts that make up a gear system, including gears, shafts, bearings, and others, which transmit power and motion.

Spalled Tooth Surfaces

A condition where the surface of gear teeth becomes pitted or flaked off, usually due to fatigue, excessive loading, or material defects.

Spigot Bearing

A bearing located at the rear of the crankshaft, providing support for the input shaft of the transmission.

Differential Carrier Assembly

The housing that holds the differential gears, pinion bearings, and other components, acting as the main support structure within the differential of a vehicle.