Question: 5. Consider the sequence definied recursively by 1 01 = 2 , an+1 = 3 - an (a) Show that this sequence is monotonically decreasing.

5. Consider the sequence definied recursively by 1 01 = 2

5. Consider the sequence definied recursively by 1 01 = 2 , an+1 = 3 - an (a) Show that this sequence is monotonically decreasing. (b) Show that this sequence is bounded below by zero. (c) Is this sequence convergent or divergent? How do you know? If it is convergent, then to which value does it converge

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