Sequences and patterns

Front

What is a sequence in mathematics?

Back

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

Front

What is a pattern in a number sequence?

Back

A pattern in a number sequence is a rule that defines how the numbers in the sequence are generated or related to each other.

Front

How do you find the next number in a sequence?

Back

To find the next number in a sequence, identify the pattern or rule governing the sequence and apply it to the last known number.

Front

What does it mean to subtract a number in a sequence?

Back

Subtracting a number in a sequence means to take a specific value away from the previous number to find the next number.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms.

Front

How do you identify the rule in a number sequence?

Back

To identify the rule in a number sequence, look for consistent changes between the numbers, such as addition, subtraction, multiplication, or division.

Front

What is the next number in the sequence: 5, 10, 15, ___?

Back

20 (the pattern is adding 5).

Front

What is the term for the difference between consecutive terms in an arithmetic sequence?

Back

The term is called the 'common difference'.

Front

If a sequence starts at 100 and subtracts 20 each time, what are the first four terms?

Back

100, 80, 60, 40.

Front

What is a missing term in a sequence?

Back

A missing term in a sequence is a number that is not explicitly stated but can be determined based on the established pattern.