In order to be prepared for class you must watch the module and complete the fol

Question

In order to be prepared for class you must watch the module and complete the following activity. This is due first thing when you get class. Define the following: Infinite Geometric Series Check your understanding: 1. Does the infinite geometric series 60 - 54 + 48.6 - 43.74 + ... converge or diverge? 2. For what values of x does the sum sigma^infinity_i = 1 (7x - 5)^3i converge? 3. Find the sum of the series: 5 + 5/3 + 5/9 +... 4. What is 1 - 1/3 + 1/9 - 1/27 + ...? Round to 2 decimal places 5. A patient takes 600 mg of a pain-killing drug twice a day. Every 12 hours, the patient's body metabolizes 20% of the drug present. If the patient continues to take the drug indefinitely, how many mg of the drug will remain in the patient's body in the long run? Round to 2 decimal places. 6. The repeating decimal 0.212121... can be written as an infinite geometric series 0.21 + 0.0021 + 0.000021 + ....Use this fact to find a fraction that is equivalent to 0.212121.... Your answer should be of the form "A/B".

Explanation / Answer

1. 60 -54 +48.6-43.74 +......

common ratio r=60/54=10/9>1

since r is greater than 1 ,therefore it diverges.

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