Determine Whether the Infinite Geometric Series Converges or Diverges $\sum _ { k = 1 } ^ { \infty } 4 \left( \frac { 2 } { 3 } \right) ^ { k - 1 }$

question 155

Multiple Choice

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
- $\sum _ { k = 1 } ^ { \infty } 4 \left( \frac { 2 } { 3 } \right) ^ { k - 1 }$

• A) Converges; 16
• B) Converges; 4
• C) Converges; 12
• D) Converges; \(\frac { 8 } { 3 }\)

---

Definitions:

Brand Equity

The value and strength of a brand that determines its worth, based on consumer's perceptions, recognition, and loyalty.

Loyal Customers

Consumers who repeatedly purchase goods or services from the same business due to satisfaction, convenience, or value.

Recognizable Goods

Products that are easily identified by consumers due to their distinct characteristics, branding, or reputation in the marketplace.

Cannibalization

A situation where a company's new product eats into the sales of one of its existing products.