Find a General Term an for the Geometric Sequence $$\mathrm { a } _ { 1 } = \frac { 1 } { 2 } , \mathrm { r } = 2$$

question 144

Multiple Choice

Find a general term an for the geometric sequence.
- $$\mathrm { a } _ { 1 } = \frac { 1 } { 2 } , \mathrm { r } = 2$$

• A) \(a _ { n } = \frac { 1 } { 2 } \cdot 2 ^ { n - 1 }\)
• B) \(a _ { n } = \left( \frac { 1 } { 2 } \right) n - 1 + \frac { 1 } { 2 }\)
• C) \(\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 2 } + \frac { 1 } { 2 } ( \mathrm { n } - 1 )\)
• D) \(a _ { n } = \frac { 1 } { 2 } + 2 ( n - 1 )\)

Recognize the effects of operating at a target capital structure on the firm's value and WACC.

Identify the connection between operating characteristics and capital structure decisions.

Grasp how the nature of assets impacts the optimal level of debt.

Comprehend the relationship between financial leverage, break-even EBIT, and returns to shareholders.

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Definitions:

Keyword Method

A mnemonic technique that involves associating a new word or information with a similar-sounding keyword to facilitate recall.

Acrostics

An artistic work like a poem or a puzzle where select letters within each line spell out distinct words or messages.

Method of Loci

A mnemonic technique that involves associating information to be remembered with specific physical locations.

Self-Referent Encoding

The process of relating new information to oneself during the encoding phase, which can increase the likelihood of remembering the information.