A Recursion Formula and the Initial Term(s) of a Sequence $$a _ { 1 } = 1 , a _ { n + 1 } = \frac { n a _ { n } } { n + 3 }$$

question 73

Multiple Choice

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
- $$a _ { 1 } = 1 , a _ { n + 1 } = \frac { n a _ { n } } { n + 3 }$$

• A) \(1 , \frac { 1 } { 4 } , \frac { 2 } { 5 } , \frac { 6 } { 6 } , \frac { 24 } { 7 }\)
• B) \(1 , \frac { 1 } { 4 } , \frac { 5 } { 4 } , \frac { 5 } { 24 } , \frac { 35 } { 192 }\)
• C) \(1 , \frac { 1 } { 4 } , \frac { 2 } { 20 } , \frac { 6 } { 120 } , \frac { 24 } { 840 }\)
• D) \(1 , \frac { 1 } { 4 } , \frac { 2 } { 20 } , \frac { 3 } { 120 } , \frac { 4 } { 840 }\)

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