Find the Sum of the Infinite Series $$\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 4 } \right) ^ { i }$$

question 10

Multiple Choice

Find the sum of the infinite series.
$$\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 4 } \right) ^ { i }$$

• A) undefined
• B) \(\frac { 2 } { 5 }\)
• C) 2
• D) \(\frac { 4 } { 3 }\)
• E) \(\frac { 2 } { 3 }\)

---

Definitions:

Mad Money

Extra money reserved for spontaneous expenses or for small luxuries, often used more liberally.

Economic Booms

Periods of rapid economic growth and expansion, characterized by increased production, employment, and consumer spending.

Quantity of Money

The complete encompassment of monetary resources in an economy at a given time.

Cost of Living

An economic concept that estimates the amount needed to cover basic expenses in a particular place and time period.