MAT117-2006Fall - MAT 117 Final Exam Fall 2006 1. Name In...

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1 MAT 117 Final Exam Fall 2006 Name 1. In the following sequence, find the next three terms. Explain the pattern. 7, 9, 15, 25, 39, ___ , ___ , ___ 2. Mary is building a staircase out of blocks in the pattern shown below. How many blocks will it take to build a staircase that is 18 blocks high? Explain how you got your answer, or show your calculations.
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2 3. Phillip was asked to expand the base six numeral six 3502 in order to change it to a base ten numeral. He wrote (3 × 6 4 ) + (5 × 6 3 ) + (2 × 6 1 ). Will he be correct? If yes, complete the conversion. If no, explain his error, and then complete the correct conversion. 4. What is the largest six-digit numeral in base five? Justify your answer.
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3 5. Complete the multiplication table for mod 8. Some of the table has been filled in for you. a. Is multiplication closed in mod 8? Explain. b. Is multiplication commutative in mod 8? Explain. c. Is there an identity element for multiplication in mod 8? If yes, what is it?
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MAT117-2006Fall - MAT 117 Final Exam Fall 2006 1. Name In...

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