A conjecture is an “educated guess” that is based on examples in a pattern. ... However, no number of examples can actually prove a conjecture. It is always possible that the next example would show that the conjecture is false. A counterexample is an example that disproves a conjecture.

Is a example that proves a conjecture is false?

If a conjecture is made, and can be determined that it is false, it takes only one false example to show that a conjecture is not true. The false example is called a counterexample.

How do you prove a conjecture?

The case of which to show that a conjecture is always true, you must prove it. To show that a conjecture is false, you have to find only one example in which the conjecture is not true. It can be a drawing, a statement, or a number. is a statement that can be written in the form “if p, then q.”