Find a Formula for the Sum of the N Terms $\frac { 1 } { 2 } , \frac { 5 } { 4 } , \frac { 25 } { 8 } , \frac { 125 } { 16 } , \ldots$

question 126

Multiple Choice

Find a formula for the sum of the n terms of the sequence. $\frac { 1 } { 2 } , \frac { 5 } { 4 } , \frac { 25 } { 8 } , \frac { 125 } { 16 } , \ldots$

• A) \(\frac { 5 \left( 5 ^ { n } - 2 ^ { n } \right) } { 3 \left( 2 ^ { n } \right) }\)
• B) \(\frac { 5 ^ { n - 1 } } { 2 }\)
• C) \(\frac { 5 ^ { n } + 2 ^ { n } } { 7 \left( 2 ^ { n } \right) }\)
• D) \(\frac { 1 } { 2 ^ { n } }\)
• E) \(\frac { 5 ^ { n } - 2 ^ { n } } { 3 \left( 2 ^ { n } \right) }\)

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A system where buyers and sellers engage in the exchange of goods and services, often guided by supply and demand principles.

Anticommunism

Opposition to communism, often characterized by political and ideological resistance to countries or movements associated with communist ideologies.

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Actions taken by government bodies to control or direct economic, social, and environmental activities according to specific standards or laws.

McCarran-Walter Act

Immigration legislation passed in 1952 that allowed the government to deport immigrants who had been identified as communists, regardless of whether or not they were citizens.