3-1 Patterns and Inductive Reasoning

Front

What is inductive reasoning?

Back

Inductive reasoning is a type of reasoning that involves making generalizations based on specific examples or patterns.

Front

What is a counterexample?

Back

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

Front

What is the next number in the pattern: 256, 128, 64, 32, ...?

Back

16

Front

Where would the next red square be in a pattern?

Back

Top left.

Front

If a number is a fraction, what is its range?

Back

A fraction is a number between zero and one, unless it is greater than one.

Front

What is the 11th figure in a sequence of triangles?

Back

Triangle.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning makes generalizations from specific instances, while deductive reasoning applies general principles to specific cases.

Front

What is a pattern in mathematics?

Back

A pattern is a repeated or recurring sequence of numbers, shapes, or other elements.

Front

How do you identify a pattern?

Back

To identify a pattern, look for a consistent relationship or rule that applies to the elements in the sequence.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.