Question: question19 BMS Theorem implies that this sequence is convergent. Then, find the limit. 19 Let a1 = 1 and an+1 = a, - 1. If

question19

BMS Theorem implies that this sequence is convergent. Then, find the limit. 19 Let a1 = 1 and an+1 = a, - 1. If L is the limit of this sequence, then L satisfies L = 12 - 1 which has solutions L = 1/2 + V5/2. But neither value is the limit of this sequence because the sequence is divergent (write out the terms to see this). 20 Suppose S1 = 1 and sn = n2 + Sn-1 for n > 2. Find the limit of the sequence. Hint: Sn =

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