Find the Nth Term $a _ { n }$ Of a Sequence Whose First Four Terms Are Given

question 37

Multiple Choice

Find the nth term $a _ { n }$ of a sequence whose first four terms are given.
- $$\frac { 5 } { 16 } , \frac { 10 } { 25 } , \frac { 15 } { 36 } , \frac { 20 } { 49 } , \ldots$$

• A) \(a _ { n } = \frac { 5 ^ { n } } { ( n + 3 ) ^ { 2 } }\)
• B) \(a _ { n } = \frac { 5 n } { ( n + 2 ) ^ { 2 } }\)
• C) \(a _ { n } = \frac { 5 ^ { n } } { ( n + 2 ) ^ { 2 } }\)
• D) \(a _ { n } = \frac { 5 n } { ( n + 3 ) ^ { 2 } }\)