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A sequence (an) is recursively defined by a1 = 1 and
an+1 =1 /(2+an ) for all n≥1
I'll prove this sequence is convergent by monoton sequence theorem.ı can find ıt is bounded but ı cannot decide it is monoton because when ı write its terms,Its terms are increasing sometimes decreasing sometimes.
How can ı prove it is increasing or decreasing?
an+1 =1 /(2+an ) for all n≥1
I'll prove this sequence is convergent by monoton sequence theorem.ı can find ıt is bounded but ı cannot decide it is monoton because when ı write its terms,Its terms are increasing sometimes decreasing sometimes.
How can ı prove it is increasing or decreasing?