Find The $n ^ { \text {ct } }$ Term of the Sequence Whose First Several Terms Are

question 63

Multiple Choice

Find the $n ^ { \text {ct } }$ term of the sequence whose first several terms are $\frac { 1 } { 4 } , - \frac { 1 } { 9 } , \frac { 1 } { 16 } , - \frac { 1 } { 25 } , \ldots$

• A) \(Q _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { n ^ { 2 } }\)
• B) \(a _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { ( n + 1 ) ^ { 2 } }\)
• C) \(a _ { \mathrm { n } } = \frac { ( n + 1 ) ^ { n } } { 4 ^ { 2 } }\)
• D) \(a _ { n } = \frac { ( 1 ) ^ { n } } { ( 2 n ) ^ { 2 } }\)
• E) none of these

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Definitions:

Lipid Profile

A blood test that measures the levels of specific lipids in the blood, used to assess an individual's risk of cardiovascular disease.

Coronary Heart Disease

A condition where the heart's blood vessels, the coronary arteries, are damaged or diseased, often leading to heart attacks.

Obesity

A medical condition characterized by excess body fat that increases the risk of health problems.

Lipid Profile

A blood test that measures the levels of triglycerides, total cholesterol, HDL cholesterol, and LDL cholesterol, providing information about cardiovascular risk.