9.1_hw.pdf - Section 9.1 HW Problems Math Lab may help 1...

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Section 9.1 HW Problems Math Lab may help! 1. Determine whether the sequence defined by a n converges or diverges. If it converges, find its limit.
2. Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?
3. Find a formula for the general term a n of the sequence, assuming that the pattern of the first few terms continues. Then find the limit of the sequence (a) - 1 2 , 8 3 , - 27 4 , 64 5 , - 125 6 , . . . (b) 5 4 , 10 9 , 15 16 , 20 25 , 25 36 , . . . 4. Calculate the first few terms of the sequence and use them to plot the graph of the sequence by hand.

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