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II. PROBLEM-SOLVING: Solve the following problems and show your solutions. Write your complete solution on a separate sheet of paper. (2 points for each problem) For numbers 1 - 2. Find the next number in the sequence: 46, 40, 35, 31, 28, ... For numbers 3 -- 4. Find the General Term for the sequence: -1, 2, 7, 14, 23,... For numbers 5 - 6. Find the 9th and the 13th Fibonacci numbers using the simplified Binetformula: For numbers 7 - 8. Solve and determine if the properties below are valid or not valid for n = 6: a) Fn Fn+3 = Fn+1 Fn+2 b) 5Fn - 2Fn-2 = Fn+3 For numbers 9 - 10. Pick a number. Multiply the number by 9, add 15 to the product, divide the sum by 3, and subtract 5. Complete this procedure and use inductive reasoning to conjecture about the relationship between the size of the resulting number and the number you chose