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Quiz #2 Sequences and Series Name: Key Show enough work that I can reproduce your results. Calculators are okay, but show evidence that you are actually doing the problems and not just typing them into your calculator. 1. Write each series in notation: a. 5 2 9 16 13 79 (7 k 12) k 1 8 11 14 17 b. 5 3 9 27 81 k 1 (1)k 3k 2 3k 1 3 k 3 1 Evaluate the infinite sum: 3 5 1 4 k 1 5 1 5 2. 3. Evaluate the sum: 1 1 1 1 1 1 1 1 1 1 2(k 2) 2 6 4 8 6 10 8 12 k 1 2k 100 1 1 1 1 2 4 202 204 3 1 1 4 202 204 1 1 1 1 198 202 200 204 4. If an 4n 1 , then an 6 3,7,11,15,19,23 n1 Sn 6n1 3,10,21,36,55,78 Sn is the sequence of partial sums of an . 5. If an 4n 1 , then 6. Write an explicit formula for Sn , in #4 above. Sn 3 7 11 n first last 2 n 3 (4n 1) 2 n 4n 2 2 (4n 1)