Select a number. Add 3. Double the result. Add 4. Divide by 2. Subtract the original selected number. a. Repeat this procedure for at least three different numbers. Write a conjecture that relates the result of this process to the original number selected. b. Use the variable ? to represent the original number and use deductive reasoning to prove the conjecture in part (a).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 3CE
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Select a number. Add 3. Double the result. Add 4. Divide by 2. Subtract the original selected number.

a. Repeat this procedure for at least three different numbers. Write a conjecture that relates the result of this process to the original number selected.

b. Use the variable ? to represent the original number and use deductive reasoning to prove the conjecture in part (a).

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