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Worksheet #3 Geometry Name: Date: Directions: Sketch the next figure in the pattern. 1. 2. 3. 4. Directions : Describe the pattern in the sequence of numbers. Predict the next number. 5. 1.1, 1.01, 1.001, 1.0001….. 6. 10, 5, 2.5, 1.25,…. 7. 1, 3, 6, 10, 15,…. 8. 5, 0, -5, -10,…. 9. 2, 6, 18, 54, ….. 10. 0, 1, 4, 9,…. Per: Directions: Show the conjecture is false by finding a counterexample. 11. Conjecture: All prime numbers are odd. Counterexample: 12. Conjecture: If the product of two numbers is positive, then the two numbers must both be positive. Counterexample: 13. Conjecture: All odd numbers can be expressed as the sum of two primes. Counterexample: 14. Conjecture: The sum of two numbers is always greater than the larger number. Counterexample: Directions: The first three objects in the pattern are shown. How many blocks are in the next object? 15.