Inductive Reasoning Conjecture – An educated guess based on known information. Inductive Reasoning – Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. Counterexample – A false example used to show that a conjecture is not true.

Make a conjecture about the next number based on the pattern. Answer: The next number will be Example 1-1b

DRIVING The table on the next screen shows selected states, the 2000 population of each state, and the number of people per 1000 residents who are licensed drivers in each state. Based on the table, find a counterexample for the following statement. The greater the population of a state, the lower the number of drivers per 1000 residents. Example 1-3c

State Population Licensed Drivers per 1000 Alabama 4,447,100 792 California 33,871,648 627 Texas 20,851,820 646 Vermont 608,827 831 West Virginia 1,808,344 745 Wisconsin 5,363,675 703 Source: The World Almanac and Book of Facts 2003 Answer: Alabama has a greater population than West Virginia, and it has more drivers per 1000 than West Virginia. Example 1-3c