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Rules for Integers
Quiz by Marilyn Larsen
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If and , then the difference between the largest and smallest possible values of is The integer 2019 can be formed by placing two consecutive two-digit positive integers, 19 and 20, in decreasing order. What is the sum of all four-digit positive integers greater than 2019 that can be formed in this way? We call the pair of positive integers a if the greatest common divisor of and is a perfect square. For example, is a happy pair because the greatest common divisor of 20 and 24 is 4. Suppose that is a positive integer such that is a happy pair. The number of possible values of with is 3628243027 Starting with a positive integer , Alicia creates a sequence by applying the following algorithm: Step 1: Alicia writes down the number as the first term of the sequence. Step 2: If is even, Alicia sets . If is odd, Alicia sets . Step 3: Alicia writes down the number as the next term of the sequence. Step 4: Alicia sets equal to the value of the term that she just wrote down in Step 3. Step 5: Alicia repeats Steps 2, 3, 4 until she has five terms, at which point she stops. For example, starting with , Alicia’s sequence would be 1, 4, 7, 16, 25. Alicia starts a sequence with . What is the fifth term of her sequence? A lock code is made up of four digits that satisfy the following rules: At least one digit is a , but neither the second digit nor the fourth digit is a . Exactly one digit is a , but the first digit is not . Exactly one digit is a . The code includes a , or the code includes a , or the code includes two s. How many codes are possible?Rules for staying safe onlineRules for Success Rules for DevicesRules for passive voiceRules for MeasuringRules for this Class 1. Respect yourself, your classmates and your teacher. Refrain from using inappropriate language. Keep your hands to yourself. Raise your hand to speak. Listen to others and respect what they have to say. 2. Uniforms Must be worn at all times, you will not be allowed to enter class without one. Students will be sent to Jose or Maria to receive a uniform. 3. Seating Sit in the front of the class unless there are no available seats and sit in assigned seats. 4. Cleanliness Always clean up after yourself and return all borrowed items back to their rightful place. 5. Technology Protocols: Do not use the laptop other than for classwork. Use of Headphones and Phones are forbidden. 6. Materials for class Always come to class prepared with a notebook, folder, pens or pencil. 7. Plagiarism Copying other people’s work is forbidden. You must cite Direct Quotes or paraphrase words that aren’t your own. Colleges will suspend you for cheating. 8. Bathroom No Bathroom or Water the first ten minutes and last ten minutes of class. Students must sign the bathroom log before leaving and after they come back. 9. Always be engaged during class time. Participation Classwork Working with others 10. Follow Directions Always listen for directions or read the direction on the smartboard as well as your worksheet for directions. Rules for uno