Question

1. Find a closed form for the following sequences: (a) The sequence starting at ao= 1/2, with recurrence relation a_{n}=\frac{1-a_{n-1}}{1+a_{n-1}} (b) The sequence starting at ao = –1, with recurrence

relation (c) The sequence for arbitrary starting value ao. a_{n+1}=\frac{a_{n}}{1+a_{n}} a_{n+1}=1+3 a_{n}

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