Question: Consider the sequence defined as follows a 1 1 a 2 2 a n a n 1 2 n n for n 2 a Determine

Consider the sequence defined as follows a 1 1 a 2

Consider the sequence defined as follows a 1 1 a 2 2 a n a n 1 2 n n for n 2 a Determine the general formula for the nth term of the sequence b Find the sum of the first 100 terms of the sequence c Prove that the sequence is strictly increasing d Prove that the sequence is unbounded i e it does not have a finite limit

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