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Math_211_Take_Home_Exam 1

# Math_211_Take_Home_Exam 1 - M a th 211 Take Home Exam#1...

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Math 211 Take Home Exam #1 Andy Callison, Travis Marshall, Karen Repko 1. a. A B = The union of sets A & B A B = { a,b,c,d,e } b. A B = The intersection of sets A & B A B = { b,c } c. A B = The intersection of sets A & C A B = {} d. (B D) (A C) = The union of sets formed from the intersection of sets B & D and also the intersection of sets A & C. (B D) (A C) = { e } 2. If n(F) = 71 and n(G) = 53, then the union of sets F & G would be n(F G) = 124, but since it is shown that the intersection of sets n(F G) =27, we know that 27 of the elements are similar, thus we will not count them twice; leaving us to subtract 27 from 124 giving us: n(F G) = 97 3. a. This is a geometric sequence since there is no common difference shown.

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To find the formula, you need to find the common ratio. Dividing a number in the sequence by the number preceding we find the common ratio to be 0.7. (1.4/2=0.7) Now we use the first number in the sequence, along with the common ratio and enter them into the formula for geometric sequences to end up with: a n = 2 * 0.7 (n-1) b. This is an arithmetic sequence since we can see that it has a common difference of 1.2.
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Math_211_Take_Home_Exam 1 - M a th 211 Take Home Exam#1...

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