Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } 9 \left( \frac { 9 } { 10 } \right) ^ { n }$

question 391

Multiple Choice

Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } 9 \left( \frac { 9 } { 10 } \right) ^ { n }$

• A)91
• B)92
• C)88
• D)89
• E)90

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Definitions:

Future Value

The value of an investment at a specified point in the future, accounting for factors like interest rates and compounding.

Payment

The transfer of money, or its equivalent, from one party to another in exchange for goods, services, or to fulfill a legal obligation.

Account Earning

The income generated from an investment or the revenue accrued from a bank account over a specific period.

Discount Rate

The interest rate used to discount future cash flows of a financial instrument to present value.