Patterns and Sequences Practice

Front

What is a pattern in mathematics?

Back

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

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that often follow a specific rule.

Front

What is the next number in the sequence: 12, 17, 22, 27?

Back

32

Front

What is the next number in the sequence: 1, 4, 9, 16, 25?

Back

36

Front

What is the rule for the sequence: 32, 36, 40, 44?

Back

Add 4.

Front

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

Back

Add 5.

Front

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

Back

Use the formula: nth term = first term + (n-1) * common difference.

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the amount added to each term to get the next term.

Front

What is the formula for the nth term of a geometric sequence?

Back

nth term = first term * (common ratio)^(n-1).

Front

What is a geometric sequence?

Back

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