Consider the recursive sequence defined by $a _ { 1 } = 2 ; a _ { n + 1 } = \frac { 2 } { 3 - a _ { n } } , n 1$ .(a) Evaluate the first four terms of this sequence.(b) Show that the sequence converges.(c) Find the limit.

Question

Consider the recursive sequence defined by $a _ { 1 } = 2 ; a _ { n + 1 } = \frac { 2 } { 3 - a _ { n } } , n > 1$ .(a) Evaluate the first four terms of this sequence.(b) Show that the sequence converges.(c) Find the limit.

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The Answer of Consider the recursive sequence defined by $a _ { 1 } = 2 ; a _ { n + 1 } = \frac { 2 } { 3 - a _ { n } } , n > 1$ .(a) Evaluate the first four terms of this sequence.(b) Show that the sequence converges.(c) Find the limit.

Consider the Recursive Sequence Defined By a1=2;an+1=23−an,n>1a _ { 1 } = 2 ; a _ { n + 1 } = \frac { 2 } { 3 - a _ { n } } , n > 1a1​=2;an+1​=3−an​2​,n>1

Consider the Recursive Sequence Defined By $a _ { 1 } = 2 ; a _ { n + 1 } = \frac { 2 } { 3 - a _ { n } } , n > 1$