Evaluate the Series, If It Converges $$10 + 4 + \frac { 8 } { 5 } + \frac { 16 } { 25 } + \ldots$$

question 318

Multiple Choice

Evaluate the series, if it converges.
- $$10 + 4 + \frac { 8 } { 5 } + \frac { 16 } { 25 } + \ldots$$

• A) \(\frac { 5 } { 3 }\)
• B) \(\frac { 50 } { 3 }\)
• C) Does not converge
• D) \(\frac { 20 } { 3 }\)

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Definitions:

Income

The amount of money received by an individual or entity in exchange for labor or services, through investments, or from any other sources.

Nuts

Typically refers to dry, edible seeds or fruits with a high fat content, but in economics or general usage, it might not have a specialized meaning beyond its common understanding.

Berries

Small, pulpy, and often edible fruits, typically containing multiple seeds.

Utility Function

A mathematical representation of how consumer preferences over a set of goods and services translate into levels of satisfaction or utility.