Practice Exam 3

# N 45 n 2 n1

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Unformatted text preview: iesʹ sum if the series converges. 7 7 7 7 39) + + + ... + + ... 2 ·3 3 ·4 4 ·5 (n + 1)(n + 2) 9 39) 40) 7 + 14 + 28 + ... + 7 · 2 n - 1 + ... 40) Find the sum of the series. ∞ 8 41) ∑ 7n n =0 ∞ 42) ∑ n =0 1 3n + 41) 1 42) 4n Determine if the geometric series converges or diverges. If it converges, find its sum. 43) 1 + ( - 9) + (- 9)2 + (- 9)3 + (- 9)4 + . . . 44) 1 12 13 14 15 + + + + + . . . 6 6 6 6 6 43) 44) 10 Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. ∞ n 45) ∑ n + 2 n = 1 Determine if the series converges or diverges; if the series converges, find its sum. ∞ - 3 3n 46) ∑ 1 + n n =0 ∞ 47) ∑ n =1 4n+1 8n-1 45) 46) 47) Find the sum of the geometric series for those x for which the series converges. ∞ 48) ∑ 4 n xn n =0 11 48) Use the integral test to determine whether the series converges. ∞ 4n 49) ∑ 2 + 2 n n =1 ∞ 50) ∑ n =1 49) cos 1/n n2 50) 12 Answer Key Testname: PE3NOMC 1) 2) 3) y = - 3 x + 4) y = 3 π + 3 6 7 3 x + 16 16 5) - 2 6) 6 2 + π 7) 2 8) 32 π 32 9) 61 27 10) 32π2 11) 228 π 12) (4, - 4 3 ) 13) 14) Circle of radius 24 and center (24, 0) 15) Hyperbola with the x...
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## This document was uploaded on 03/17/2014 for the course MATH 185 at Orange Coast College.

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