LM 11.2_ Infinite series-problems

LM 11.2_ Infinite series-problems - nanni(arn437 LM 11.2...

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nanni (arn437) – LM 11.2: Infnite series – maxwell – (56110) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 of 3) 10.0 points (i) Rewrite the series 2 + 4 7 + 8 49 + . . . + 2 · 2 3 7 3 using summation notation. 1. S = 3 s n = 1 2 p 2 7 P n 2. S = 3 s n = 0 2 p 2 7 P n 3. S = 3 s n = 0 2 p 7 2 P n 4. S = s n = 0 2 p 2 7 P n 5. S = 4 s n = 1 2 p 2 7 P n 002 (part 2 of 3) 10.0 points (ii) Rewrite the series 8 · 2 3 7 3 - 8 · 2 4 7 4 + 8 · 2 5 7 5 - . . . - 8 · 2 10 7 10 using summation notation. 1. S = 7 s n = 0 ( - 1) n 8 · p 2 7 P n 2. S = 10 s n = 3 ( - 1) n - 3 8 · p 2 7 P n 3. S = s n = 3 ( - 1) n - 3 8 · p 2 7 P n 4. S = 11 s n = 4 ( - 1) n - 3 8 · p 2 7 P n 5. S = 10 s n =3 ( - 1) n - 2 8 · p 2 7 P n 003 (part 3 of 3) 10.0 points (iii) Rewrite the series 3 · 2 9 7 9 - 3 · 2 10 7 10 + . . . + ( - 1) n 3 · 2 9+ n 7 9+ n + . . . + using summation notation. 1. S = s n =9 ( - 1) n 3 · p 2 7 P n 2. S = s n ( - 1) n - 9 3 · p 2 7 P n 3. S = s n =0 ( - 1) n 3 · p 2 7 P n 4. S = s n ( - 1) n - 9 3 · p 2 7 P n - 9 5. S = s n ( - 1) n - 9 3 · p 7 2 P n 004 10.0 points Determine whether the series s n 2 ± 4 3 ² n is convergent or divergent, and iF convergent,
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LM 11.2_ Infinite series-problems - nanni(arn437 LM 11.2...

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