M216_Review_Sheet_4Y2

# M216_Review_Sheet_4Y2 - a n 4 9 14 19 a n = 5 n 1 a n = 1 n...

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Unformatted text preview: a n 4, 9, 14, 19, ... { } a n = 5 n + 1 a n = 1 n + 5 a n = 1 n Â¡ 5 a n = 5 n Â¡ 1 a n = n+1 8n Â¡ 1 a n =n Â¢ n Â¡ 5 ( ) 1 Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues. a. b. c. d. 2 Determine whether the sequences converges or diverges. diverges converges 1 A Name_______________ M216 Calculus II Date_______________ M216 Review Sheet 4 a n = 7 + 8 n 2 n + n 2 a n = Â¡ 1 ( ) n Â¡ 1 Â¢ n n 2 +8 a n =arctan 4n ( ) 3 Determine whether the sequence converges or diverges. a. converges b. diverges 4 Determine whether each sequence converges or diverges. converges diverges 2 A Name_______________ a n = Â¡ 1 ( ) n Â¢ sin 7 n a n = ln n 8 n a n = n+5 Â¡ n a n = ln 5+e n 4n 5 Determine whether the sequences converges or diverges. converges diverges 6 Determine whether the sequences converges or diverges. converges diverges 3 A Name_______________ Â¡ n = 1 Â¢ 19( 9 10 ) n Â£ 1 Â¡ n=1 Â¢ 3 Â£ n 2 n+1 Â¡ n=1 Â¢ 2 Â£ n 3 n+1 7 Determine whether the series is convergent or divergent. If it is convergent, select its sum. a. 171 b. 190 c. not convergent d. 1710 8 Determine whether each series is convergent or divergent. convergent divergent 4 A Name_______________ Â¡ n = 1 Â¢ 11 n ( n + 2) 44 3 33 4 4 33 Â¡ n = 1 Â¢ 2(0.1) n 20 9 1 9 2 9 9 Determine whether the series is convergent or divergent. If it is convergent, select its sum. a. b. Divergent c. d. 10 Determine whether the series is convergent or divergent. If it is convergent, choose its sum. a. b. c. d. divergent 5 A Name_______________ Â¡ n=1 Â¢ 1 3 n Â¡ n=1 Â¢ 1 3 + 4 Â£ n Â¤ a n = f( n ) Â¥ 3 19 f ( x ) dx Â¡ i = 4 19 a i Â¡ i = 3 18 a i 11 Determine whether the series is convergent or divergent. convergent divergent 12 Suppose f ( x ) is a continuous positive decreasing function for x 3 and . Let A = , B = and C = . Compare A , B and C . a. B > C > A b. B < A < C c. C < A < B d. A > B > C 6 A Name_______________ Â¡ m = 6 Â¢ 3 m 7.3 Â£ 5 Â¢ 3 x 7.3 dx Â¤ Â¥ Â¡ n = 1 Â¢ 1 2 n + 1 13 Let A = and B = . Compare A and B . a. A > B b. A B c. A B d. A < B e. A = B 14 Use the Integral Test to determine whether the series is convergent or divergent. a. the series is convergent b. the series is divergent 7 A Name_______________ Â¡ k = 1 Â¢ 10 k 8 Â¡ k = 1 Â¢ 10 8 k Â¡ m = 1 Â¢ m 8 1 + 1 8 + 1 27 + 1 64 + 1 125 + ... 15 Use the Integral Test to determine which of the following series is convergent or divergent. NOTE: Match each series on the left with the statement on the right. Series is convergent Series is divergent 16 Determine whether each series is convergent or divergent. NOTE: Match each series on the left with the statement on the right. Series is divergent....
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M216_Review_Sheet_4Y2 - a n 4 9 14 19 a n = 5 n 1 a n = 1 n...

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