Quiz_6

# Quiz_6 - Despite being very diligent about their chores the...

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Cadet__________________________________ Section_______ Quiz #6-MA103 50 points You have 20 minutes to finish two problems . You may use Excel and Mathematica. You may NOT use the internet. SHOW YOUR WORK! 1. (10 points) Write the next three terms of each sequence. Find a recursion relation to describe each sequence, and state whether the sequence is arithmetic, geometric, or neither. (a) 120, 12, 1.2, 0.12, ______, ______, ______, … recursion relation: __________ P(n)=(.1)P(n-1)________________ arithmetic, geometric, neither? ____G______________ (b) 2, 5, 8, 11, ______, ______, ______, … recursion relation: ______p(n)=_ P(n-1)_+3_________________ arithmetic, geometric, neither? _____ A_____________ 2. (5 points) Write the corresponding difference equation for part 1(a) above.

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3. (35 Points) During the summer months, the Weasley family suffers from gnome infestations in their garden. Every Saturday Mrs. Weasley sends her children out to degnome the garden.
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Unformatted text preview: Despite being very diligent about their chores, the children manage to toss out only 60% of the resident gnomes. However, during the week, 15% of these wily critters manage to return. In addition, 12 of the neighbor’s gnomes also decide to move to the Weasley garden. There were 120 gnomes in the garden on Saturday, June 3 rd of this year before the children began their chores. (a) (25 points) Develop a discrete model that represents the number of gnomes in the garden each Saturday morning. i) (5 points) Define the variables. ii) (5 points) State the domain. iii) (5 points) List assumptions (give at least two). iv) (5 Points) Write down the initial condition. v) (5 points) Write down the recursion equation. (b) (10 points) How many gnomes are in the garden on Saturday, June 31st? 35...
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Quiz_6 - Despite being very diligent about their chores the...

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