AR.3.2 - Number Patterns

Front

What is a number pattern?

Back

A number pattern is a sequence of numbers that follow a specific rule or formula.

Front

What is the next number in the pattern: 2, 4, 6, 8, ?

Back

10 (The pattern adds 2 each time.)

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a number pattern where the difference between consecutive terms is constant.

Front

What is the common difference in the sequence: 5, 10, 15, 20?

Back

The common difference is 5 (each number increases by 5).

Front

What is a geometric sequence?

Back

A geometric sequence is a number pattern where each term is multiplied by a fixed number to get the next term.

Front

What is the common ratio in the sequence: 3, 6, 12, 24?

Back

The common ratio is 2 (each number is multiplied by 2).

Front

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

Back

The nth term can be found using the formula: nth term = first term + (n-1) * common difference.

Front

What is a rule for the pattern: 1, 3, 5, 7, ?

Back

The rule is to add 2 to the previous number.

Front

What is a pattern rule?

Back

A pattern rule is a description of how to get from one number in a pattern to the next.

Front

What is the next number in the pattern: 10, 20, 30, 40, ?

Back

50 (The pattern adds 10 each time.)