Number and Shape Patterns

Front

What is a number pattern?

Back

A number pattern is a sequence of numbers that follows a specific rule or formula, allowing for the prediction of subsequent numbers in the sequence.

Front

How do you find the nth term in an arithmetic sequence?

Back

To find the nth term in an arithmetic sequence, use the formula: nth term = first term + (n-1) * common difference.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common difference in an arithmetic sequence?

Back

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

Front

How do you identify the next number in a pattern?

Back

To identify the next number in a pattern, determine the rule governing the pattern (addition, subtraction, multiplication, etc.) and apply it to the last known number.

Front

What is the rule for the pattern: 5, 10, 15, 20?

Back

The rule for this pattern is to add 5 to the previous number.

Front

How do you create a pattern using multiplication?

Back

To create a pattern using multiplication, start with a number and repeatedly multiply it by a fixed number to generate the next terms.

Front

What is a shape pattern?

Back

A shape pattern is a sequence of shapes that follow a specific arrangement or rule, which can involve rotation, color change, or shape transformation.

Front

What is the first term in the sequence 29, 27, 25, 23?

Back

The first term in the sequence is 29.

Front

How do you determine the 5th term in a sequence defined by a rule?

Back

To determine the 5th term, apply the rule repeatedly starting from the first term until you reach the 5th term.