Find a General Term A_n for the Geometric Sequence $$a _ { 1 } = - \frac { 1 } { 5 } , r = 7$$

question 429

Multiple Choice

Find a general term a_n for the geometric sequence.
- $$a _ { 1 } = - \frac { 1 } { 5 } , r = 7$$

• A) \(a _ { n } = \left( - \frac { 1 } { 5 } \right) ^ { n - 1 } + \frac { 6 } { 35 }\)
• B) \(a _ { n } = - \frac { 1 } { 5 } + \frac { 1 } { 7 } ( n - 1 )\)
• C) \(a _ { n } = - \frac { 1 } { 5 } \cdot 7 ^ { n - 1 }\)
• D) \(a _ { n } = - \frac { 1 } { 5 } + \frac { 6 } { 35 } ( n - 1 )\)

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Definitions:

Common Stock

A type of equity security that represents ownership in a corporation, giving holders voting rights and a share in the company's profits through dividends.

Discount Bond

A bond that is sold for less than its face value.

Face Value

The nominal or dollar value printed on a security or financial instrument, such as a bond or stock certificate, representing its official worth or repayment value at maturity.

Yield-to-Maturity

The total return anticipated on a bond if it is held until its maturity date, incorporating both interest payments and the adjustment of the bond's value.