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# problem12_pdf - rabbani(tar547 – HW12 – Radin –(56635...

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Unformatted text preview: rabbani (tar547) – HW12 – Radin – (56635) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points If the n th partial sum of ∑ ∞ n = 1 a n is S n = 4 n- 3 n + 1 , (i) what is a 1 ? 1. a 1 =- 7 2 2. a 1 =- 1 2 3. a 1 = 7 2 4. a 1 = 1 2 5. a 1 = 4 002 (part 2 of 3) 10.0 points (ii) What is a n for n > 1? 1. a n = 7 n ( n- 1) 2. a n = 7 n ( n + 1) 3. a n = 7 n 2 4. a n = 1 n ( n + 1) 5. a n = 1 n ( n- 1) 6. a n = 1 n 2 003 (part 3 of 3) 10.0 points (iii) What is the sum ∑ ∞ n = 1 a n ? 1. sum = 6 2. sum = 3 3. sum = 5 4. sum = 4 5. sum = 7 004 10.0 points Determine whether the series ∞ summationdisplay n =1 4- n 5 n +1 is convergent or divergent. If it is convergent, find its sum. 1. 36 2. divergent 3. 20 4. 35 5. 19 005 10.0 points Find the sum of the series ∞ summationdisplay n = 0 (3 x + 5) n 4 n for those values of x for which it converges. 1. sum = 4 9- 3 x 2. sum =- 4 1 + 3 x 3. sum = 4 9 + 3 x 4. sum =- 1 + 3 x 4 5. sum = 9- 3 x 4 rabbani (tar547) – HW12 – Radin – (56635) 2 6. sum =- 4 1- 3 x 006 10.0 points Find the sum of the infinite series tan 2 θ- tan 4 θ + tan 6 θ + ... + (- 1) n- 1 tan 2 n θ + ... whenever the series converges. 1. sum = cos 2 θ 2. sum = sin 2 θ 3. sum =- cos 2 θ 4. sum =- sin 2 θ 5. sum = tan 2 θ 007 10.0 points A business executive realizes that he is out of shape so he begins an exercise program in...
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problem12_pdf - rabbani(tar547 – HW12 – Radin –(56635...

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