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UMUC MATH 141, SPRING 2017 QUIZ 5 KOBI SNITZ (1) Consider the sequence an = 22n 2. Can this sequence be defined recursively ? If

UMUC MATH 141, SPRING 2017 QUIZ 5 KOBI SNITZ (1) Consider the sequence an = 22n 2. Can this sequence be defined recursively ? If so, define it recursively. (2) Let an = 4 n12 does this sequence converge to a limit. If so what is that limit and show that the sequence does converge to the limit in according to the definition on page 4 in section 10.1. P 1 (3) Let an = n1.003 n=1 an . Does the series con+56 and consider the series verge ? explain why it dos or does not. P (4) Use an appropriate test to check if the series n=1 exp(n) converges or diverges. 1

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