Patterns and Sequences Unit Flashcard

Front

What is a pattern in mathematics?

Back

A pattern in mathematics is a sequence or arrangement that follows a specific rule or set of rules.

Front

What is a sequence?

Back

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

Front

What is the next shape in the pattern: star, heart, star, __, star?

Back

The next shape is a heart.

Front

What is the shape of a stop sign?

Back

A stop sign is an octagon.

Front

What shape has no corners or vertices?

Back

A circle has no corners or vertices.

Front

What is the next number in the sequence: 10, 20, 30, __?

Back

The next number is 40.

Front

How do you identify a pattern in a sequence?

Back

To identify a pattern in a sequence, look for a consistent rule that applies to the arrangement of the elements.

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 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 formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence 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.