Using Inductive Reasoning To Make Conjectures

Example 2 Use Inductive Reasoning to Make a Conjecture about Polygons Make a conjecture about the relationship between the number of sides of a polygon and the number of triangles formed by drawing all the diagonals from one vertex of the polygon. Solution STEP 1 Find examples.

A conclusion you reach using inductive reasoning is called a Using Inductive Reasoning Make a conjecture about the sum of the rst 30 odd numbers. Find the rst few sums. Notice that each sum is a perfect square. 1 1 12 The perfect squares form 1 3 4 22 a pattern. 1 3 5 9 32 1 3 5 7 16 42 Using inductive reasoning, you can

2-1 Using Inductive Reasoning to Make Conjectures When you make a general rule or conclusion based on a pattern, you are using inductive reasoning. A conclusion based on a pattern is called a conjecture. Pattern Conjecture Next Two Items 8, 3, 2, 7, . . . Each term is 5 more than the previous term. 7 5 12 12 5 17 45

Using Inductive Reasoning Vocabulary conjecture, p. 74 inductive reasoning, p. 74 counterexample, p. 75 deductive reasoning, p. 76 KEY IDEA Inductive Reasoning A conjecture is an unproven statement that is based on observations. You use inductive reasoning when you fi nd a pattern in specifi c cases and then write a conjecture for the general

Inductive and Deductive Reasoning 1.2 Use inductive reasoning to make conjectures. Give examples of correct and incorrect inductive reasoning. Be able to distinguish between inductive and deductive reasoning.

2.1 Use Inductive Reasoning Obj. Describe patterns and use inductive reasoning. Key Vocabulary Conjecture - A conjecture is an unproven statement that is based on observations. Inductive reasoning - You use inductive reasoning when you find a pattern in specific cases and then write a conjecture for the general case. Counterexample - A counterexample is a specific case for which

But what is inductive reasoning? Inductive reasoning is making conclusions based on patterns you observe.The conclusion you reach is called a conjecture. In the figure below, notice that 3 is added to the previous term in order to get the current term or current number. The logical conclusion we can make based on this pattern is that to find

Use inductive reasoning to make conjectures. Key Words conjecture inductive reasoning counterexample 1.2 Inductive Reasoning 1 Count the number of ways that 4 people can shake hands. 2 Count the number of ways that 5 people can shake hands. 3 Organize your results in a table like the one below.

reasoning that a rule or statement is true because specific cases are true. You may use inductive reasoning to draw a conclusion from a pattern. A statement you believe to be true based on inductive reasoning is called a conjecture. Inductive Reasoning 1. Look for a pattern. 2. Make a conjecture. 3. Prove the conjecture or find a

Use inductive reasoning to identify patterns and make conjectures. Find counterexamples to disprove conjectures.