Question: For each sequence, what appear to be the next three numbers? SEE EXAMPLE 1 10.101,89,77,65,... 11.9, 6,4,%,... 12. Observe the pattern made by the figures.

For each sequence, what appear to be the next three numbers? SEE EXAMPLE 1 10.101,89,77,65,... 11.9, 6,4,%,... 12. Observe the pattern made by the figures. Can you write a conjecture about the number of triangles formed by connecting one vertex of a polygon with n sides to each of the other vertices? SEE EXAMPLE 2 mZ@@ The table shows the number of students in the senior class and the number of seniors who have their driver's license. SEE EXAMPLE 3 Year 2014 2015 2016 2017 l Number of Seniors Seniors With 341 367 309 382: 199 246 l a License 13. What pattern can you find between the number of seniors and the seniors who have a driver's license? 14. The class of 2018 has 413 seniors. How many seniors in the class of 2018 do you think will have a driver's license? 15. Can you find a counterexample for the following statement? SEE EXAMPLE 4 A trapezoid cannot have more than one right angle. 16. Support the following conjecture with 4 examples or disprove it with a counterexample. SEE EXAMPLE 5 The quotient of two rational numbers is a rational number

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