Difference between revisions of "005 Sample Final A, Question 22"

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! Final Answers
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|a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example, <math>a_n = (-a)^n</math>
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|b) False. Linear systems only have a solution if the lines intersect. So y = x and y = x + 1 will never intersect because they are parallel.
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|c) False. <math>y = x^2</math> does not have an inverse.
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|d) True. <math>cos^2(x) - cos(x) = 0</math> has multiple solutions.
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|e) True.
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|f) False.
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! Final Answer:
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Revision as of 11:20, 20 May 2015

Question Consider the following sequence,

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -3, 1, -\frac{1}{3}, \frac{1}{9}, -\frac{1}{27}, \cdots }


     a. Determine a formula for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_n} , the n-th term of the sequence.
     b. Find the sum

Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Final Answer:
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