Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } ( x + 2 ) ^ { n }$$

question 68

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( x + 2 ) ^ { n }$$

• A) \(\frac { 1 } { - 1 + x }\)
• B) \(\frac { 1 } { 3 + x }\)
• C) \(\frac { 1 } { - 1 - x }\)
• D) \(\frac { 1 } { 3 - x }\)

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Definitions:

LIBOR

The London Interbank Offered Rate, which is a benchmark rate that some of the world’s leading banks charge each other for short-term loans.

Interest Expense

The cost incurred by an entity for borrowed funds over a period, including loans, bonds, or credit lines.

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A form of debt where the interest rate varies over time based on a benchmark interest rate or index.

Market Rate

The current interest rate or cost of borrowing in the market, applicable to loans, deposits, and securities.