Sequence and Patterns

Front

What is a sequence?

Back

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

Front

What is a pattern in mathematics?

Back

A pattern is a repeated or recurring arrangement of numbers or shapes that follows a specific rule.

Front

What comes next in the sequence: 70, 60, 50, 40?

Back

30 (the pattern is subtracting 10).

Front

What is the pattern in the sequence: 23, 28, 33, 38?

Back

The pattern is adding 5.

Front

How do you generate the sequence: 5, 8, 11, 14?

Back

By adding 3 to each term to make a new term.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in the sequence: 2, 5, 8, 11?

Back

The common difference is 3.

Front

What comes next in the sequence: 1, 4, 7, 10?

Back

13 (the pattern is adding 3).

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 ratio in the sequence: 3, 6, 12, 24?

Back

The common ratio is 2.