Find a Formula for the General Term $a _ { n }$

question 115

Multiple Choice

Find a formula for the general term $a _ { n }$ of the sequence $\left\{ 2,1 , \frac { 8 } { 9 } , 1 , \frac { 32 } { 25 } , \frac { 64 } { 36 } , \frac { 128 } { 49 } , \ldots \right\}$ .

• A) \(\frac { 2 ^ { n + 1 } } { n ^ { 2 } }\)
• B) \(\frac { 2 ^ { n } } { ( n + 1 ) ^ { 2 } }\)
• C) \(\frac { 2 ^ { n } } { n ^ { 2 } }\)
• D) \(\frac { 2 ^ { n } } { ( n - 1 ) ^ { 2 } }\)
• E) \(\frac { 2 ^ { n - 1 } } { n ^ { 2 } }\)
• F) \(\frac { 2 n } { n ^ { 2 } }\)
• G) \(\frac { 2 ^ { n - 1 } } { n ^ { 2 } }\)
• H)None of these

---

Definitions:

Upward Mobility Rate

The frequency or likelihood with which individuals in an organization or society can ascend to higher social or economic positions.

Promotion Rate

The frequency at which employees are elevated to higher positions within an organization, indicative of career development opportunities.

Long Telegram

A 1946 document sent by George Kennan from the United States Embassy in Moscow to Washington, outlining the Soviet Union's post-World War II behavior and recommending a strategy of containment.

George F. Kennan

An American diplomat and historian, recognized as the "father" of the containment policy, which aimed to prevent the spread of communism during the Cold War.