Patterns

Front

What is a number pattern?

Back

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

Front

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

Back

8

Front

How do you identify a pattern in a sequence of numbers?

Back

To identify a pattern, look for a consistent rule that applies to the differences or ratios between consecutive numbers.

Front

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

Back

Add 5 to the previous number.

Front

What is the missing number in the pattern: 12, 15, 18, ___, 24?

Back

21

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the constant amount that is added or subtracted to get from one term to the next.

Front

What is the next number in the pattern: 100, 90, 80, ___?

Back

70

Front

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

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the rule for the pattern: 1, 4, 9, 16?

Back

These numbers are perfect squares: 1^2, 2^2, 3^2, 4^2.

Front

What is the missing number in the pattern: 5, 10, ___, 20, 25?

Back

15