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# Sample bio 101

Truman State

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This 5 page Study Guide was uploaded by Alaina Notetaker on Friday August 12, 2016. The Study Guide belongs to bio 101 at Truman State University taught by Mr Smith in Fall 2016. Since its upload, it has received 8 views. For similar materials see biology in Biology at Truman State University.

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Date Created: 08/12/16

BC Calculus 09-10 Name Numerical Series Test 1) Which of the following sequences converge? ⎧ n 3 ⎫ I. ⎧ Ln n ⎫ II. a = n n−1 III. ⎪ ( ) n ⎪ ⎩ Ln 2n⎭ n ( ) ⎪3 + 2n +1 ⎪ ⎩ ⎭ (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II, and III 2) Which of the following Series diverge? ∞ ∞ 5 ∞ I. ∑ 5 6 n−1 II. ∑ 4n III. ∑ n n=1 n=17n −1 n=1 (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II, and III 3) Which of the following are series divergent? ∞ n ∞ ∞ n n+1 I. e II. ln5 III. 2 3 n=1(n+5 ) n=3cos( )n n=2 n ( ) (A) I only (B) III only (C) I and III only (D) II and III only (E) I, II, and III ∞ 1+ p 4) What are all values of p for which the infinite s∑ries converges? n=1 (A) p > −2 (B) p ≥ −2 (C) p < −2 (D) p ≤ −2 (E) All real values of p 5) Which of the following are series convergent? ∞ 5 ∞ 1 ∞ I. ∑ 3 II. ∑ 2 III. ∑ (3n+7 ) n=1n +3 n=1+ n n=2 (A) I only (B) III only (C) I and II only (D) I and III only (E) II and III only 6) Which of the following series diverge? ∞ n 1 ∞ ncosn ∞ n+11 I. ∑ ( ) 2n+1 II. ∑ ( ) 3n III. ∑ ( ) n=1 n=1 n=1 n (A) I only (B) II only (C) I and II only (D) I and III only (E) I, II and III ∞ 7) If a converges, then which of the following is true? n=1 n ∞ I. ∑ an diverges n=1 ∞ II. ∑ an converges absolutely n=1 ∞ III. ∑ 4an converges n=1 (A) I only (B) II only (C) III only (D) I and III only (E) I, II and III 8) Which of the following series are conditionally convergent? n n ∞ ( ) ∞ 1 ∞ ( ) I. ∑ n II. ∑ nIII. ∑ 2n n=2(Ln n) n=1(an n ) n=1 n (A) I only (B) I and III only (C) II and III only (D) I and III only (E) I, II, and III n ∞⎛ π⎞ 9) ∑ ⎝sin 6⎠ = n=1 3 3 2 (A) 1 (B) 2 (C) 1− 2 (D) (E) divergent 1− 3 2 10. Which of the following three tests will establish the series ∞ n ∑ 5 converges? n=1 2n +1 ∞ −5 I. Direct Comparison Test wit∑ n 2 n=1 ∞ −3 II. Limit Comparison Test with∑ n 2 n=1 ∞ −1 III. Direct Comparison Test wit∑ n 2 n=1 (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III AP Calculus BC ’09-10 Name Numerical Series Test Calculator Allowed Score . ∞ 2 −n 1. Use the Integral Test to determine ∑fn e is convergent or divergent. n=1 ∞ n 3 2. Use the Ratio Test to determine if 2 ⋅n is convergent or divergent. ∑n=1 n! ∞ 3. Determine whether the seri∑s n 2 converges or diverges. n=1(+ 4 )

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