Math 222 Calculus II Practice Test 3 Sequences and Series

Practice Test 3 1. Sequences and Series (a) To every series, there are two associated sequences. What are these sequences? (b) Do the following sequences converge? If so, to what? i. a n= n 2 4n3 3 ii. a n= ˇ n n (c) Use a geometric series to express :2 = :2222222::: as a ratio of integers. (d) Explain the di erence between X1 i=0 a i and X1 j ... ................
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