Determine the Sum of the Infinite Series, If It Exists $$- 28 + 7 + \left( - \frac { 7 } { 4 } \right) + \frac { 7 } { 16 } + \ldots$$

question 24

Multiple Choice

Determine the sum of the infinite series, if it exists. $$- 28 + 7 + \left( - \frac { 7 } { 4 } \right) + \frac { 7 } { 16 } + \ldots$$

• A) \(- \frac { 112 } { 3 }\)
• B) \(- \frac { 112 } { 11 }\)
• C) Sum does not exist
• D) \(- \frac { 112 } { 5 }\)

---

Definitions:

Depreciation

The methodical allocation of the cost of a tangible asset over its useful life.

Interest Rate

The cost of borrowing money or the reward for saving, expressed as a percentage of the money borrowed or saved.

Gross Investment

The total amount invested in the purchase of new capital assets plus replacement of depreciated assets, reflecting the total expenditure on new capital in an economy.

Depreciation

The process of allocating the cost of a tangible asset over its useful life, reflecting the decrease in value over time due to wear and tear or obsolescence.