Geo Inductive Reasoning

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

What is the next number in the pattern: 23, 33, ___, 53, ___, 73?

Back

The missing numbers are 43 and 63.

Front

What can be inferred from a graph showing participation in high school lacrosse?

Back

A reasonable conjecture is that more girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

Front

What is the sum of the first 5 positive integers?

Back

The sum is 15.

Front

How many cubes are in the 10th figure of a cube pattern where the number of cubes increases by a specific rule?

Back

There are 41 cubes in the 10th figure.

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general rule or conclusion is inferred from specific cases.

Front

What is a conjecture in mathematics?

Back

A conjecture is a statement that is believed to be true based on observations but has not yet been proven.

Front

How do you identify a pattern in a sequence of numbers?

Back

To identify a pattern, look for a consistent rule or relationship between the numbers.

Front

What is the importance of proving a conjecture false?

Back

Proving a conjecture false is important because it helps refine theories and leads to a better understanding of the subject.

Front

What is the difference between a theorem and a conjecture?

Back

A theorem is a statement that has been proven to be true, while a conjecture is a statement that is believed to be true but has not yet been proven.