Question: 4. Consider the expression '/2 + V 2 + V2 + V2 + . - -. (a) The recursive sequence an+1 = 2 + on

4. Consider the expression '/2 + V 2 + V2 +

4. Consider the expression '/2 + V 2 + V2 + V2 + . - -. (a) The recursive sequence an+1 = 2 + on with a0 = is a model for the expression. Find a1, a2, a3, and (14 (to ve decimal places). Conjecture a limit of the sequence. (1)) Is the sequence monotonic? (0) Assuming that the limit L of the sequence does exist, nd the value of L algebraically. (d) Exploration: does a different value of (10 change what L is? Try four (very) different values of a0 and repeat (a) for each

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