Find the Sum of the Series, If Possible $$8 + 2 + \frac { 1 } { 2 } + \frac { 1 } { 8 } + \ldots$$

question 25

Multiple Choice

Find the sum of the series, if possible.
- $$8 + 2 + \frac { 1 } { 2 } + \frac { 1 } { 8 } + \ldots$$

• A) \(\frac { 32 } { 3 }\)
• B) \(\frac { 119 } { 10 }\)
• C) \(\frac { 117 } { 10 }\)
• D) \(\frac { 51 } { 5 }\)

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Definitions:

Inferior Good

A type of good for which demand decreases as the income of consumers increases, opposite to normal goods.

Substitution Effect

The economic principle that as the price of a good rises, consumers will replace it with cheaper alternatives, whereas if its price falls, the good will be favored over more expensive substitutes.

Total Effect

Refers to the entire impact or outcome resulting from a specific action or series of actions, considering all direct and indirect consequences.

Substitution Effect

The change in consumption that occurs when a price change moves the consumer along a given indifference curve to a point with a new tangent and slope.