Find the Sum of the Series $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 2 } { 9 ^ { n } } + \frac { 4 } { 5 ^ { n } } \right)$$

question 152

Multiple Choice

Find the sum of the series.
- $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 2 } { 9 ^ { n } } + \frac { 4 } { 5 ^ { n } } \right)$$

• A) \(\frac { 29 } { 4 }\)
• B) \(- \frac { 23 } { 15 }\)
• C) \(\frac { 77 } { 15 }\)
• D) \(- \frac { 11 } { 4 }\)

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Definitions:

Bonds

Securities issued by corporations or governments that represent a loan from the investor to the issuer, typically paying periodic interest payments and returning the principal at maturity.

Maturation

The process of becoming mature, either physically, emotionally, or in the case of products and ideas, reaching a state of full development.

Yield to Maturity

The total return expected on a bond if it is held until its maturity date.

Bonds

Fixed-income investments where an investor loans money to an entity (corporate or governmental) that borrows the funds for a defined period at a variable or fixed interest rate.