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

question 38

Multiple Choice

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

• A) \(a _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { n ^ { 2 } }\)
• 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

---

Definitions:

Strong Endorsement

A powerful and influential public recommendation or support for a brand or product, typically by a well-known or reputable figure.

Architecture Strategy

A planning approach that outlines the structure, technology, and processes required to achieve long-term organizational goals.

House Of Brands

A brand management strategy wherein a company markets a range of separate and distinct brands, each focused on meeting the needs of different market segments.

Loyal Customers

are consumers who consistently prefer and purchase a particular brand or product over time, often due to satisfaction, personal identification, or perceived value.