Number Patterns

Front

What is a number pattern?

Back

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

Front

How do you identify the rule in a number pattern?

Back

To identify the rule, look for a consistent operation (addition, subtraction, multiplication, or division) applied to the terms in the sequence.

Front

What is the next number in the sequence: 5, 8, 11, 14?

Back

The next number is 17, as the pattern adds 3 to each term.

Front

Extend the pattern: 23, 25, 27, ____, ____, ____

Back

The next three numbers are 29, 31, and 33.

Front

What is the rule for the pattern: 1, 6, 11, 16, 21?

Back

The rule is to add 5 to each term.

Front

What comes next in the sequence: 4, 6, 8, 10?

Back

The next number is 12.

Front

What is a common difference in an arithmetic sequence?

Back

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

Front

How can 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 the first term in the sequence: 10, 15, 20, 25?

Back

The first term is 10.

Front

If a sequence starts with 2 and has a common difference of 4, what are the first five terms?

Back

The first five terms are 2, 6, 10, 14, 18.