Patterns

Front

What is a pattern in mathematics?

Back

A pattern in mathematics is a sequence or arrangement that follows a specific rule or set of rules.

Front

What does it mean to identify a rule in a pattern?

Back

Identifying a rule in a pattern means determining the consistent operation or relationship that generates the sequence of numbers.

Front

How do you find missing numbers in a numerical pattern?

Back

To find missing numbers in a numerical pattern, identify the rule governing the pattern and apply it to determine the unknown values.

Front

What is the rule for the sequence: 2, 4, 6, 8, ...?

Back

The rule for this sequence is to add 2 to the previous number.

Front

What is the rule for the sequence: 10, 8, 6, 4, ...?

Back

The rule for this sequence is to subtract 2 from the previous number.

Front

How can you express a pattern using an equation?

Back

A pattern can be expressed using an equation by defining a mathematical relationship between the terms, such as y = mx + b.

Front

What is the significance of the Magic Box in patterns?

Back

The Magic Box is a conceptual tool used to visualize and understand the operations applied to numbers in a pattern.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio.

Front

How do you determine the next number in the sequence: 5, 10, 15, ...?

Back

The next number is determined by adding 5 to the last number, resulting in 20.

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added or subtracted to get from one term to the next in an arithmetic sequence.