Consider the sequence defined by $a _ { n } = \frac { n ! } { 2 \cdot 5 \cdot 8 \cdots ( 3 n - 1 ) } , n \geq 1$ (a) Evaluate the first three terms of this sequence.(b) Find the limit.

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The Answer of Consider the sequence defined by $a _ { n } = \frac { n ! } { 2 \cdot 5 \cdot 8 \cdots ( 3 n - 1 ) } , n \geq 1$ (a) Evaluate the first three terms of this sequence.(b) Find the limit.

Consider the Sequence Defined By an=n!2⋅5⋅8⋯(3n−1),n≥1a _ { n } = \frac { n ! } { 2 \cdot 5 \cdot 8 \cdots ( 3 n - 1 ) } , n \geq 1an​=2⋅5⋅8⋯(3n−1)n!​,n≥1

Consider the Sequence Defined By $a _ { n } = \frac { n ! } { 2 \cdot 5 \cdot 8 \cdots ( 3 n - 1 ) } , n \geq 1$