Patterns

Front

What is a repeating pattern?

Back

A repeating pattern is a sequence of elements that occurs in the same order multiple times.

Front

What is the rule for the pattern: 2, 4, 6, 8, 10, 12?

Back

The rule is to add 2 to the previous term.

Front

What is the next term in the pattern: 10, 20, 30, 40, __?

Back

The next term is 50.

Front

How do you determine the 15th term in a sequence?

Back

To determine the 15th term, identify the pattern or rule governing the sequence and apply it iteratively or use a formula if available.

Front

If the rule of a pattern is to multiply by 2 and the first term is 4, what are the next four terms?

Back

The next four terms are 8, 16, 32, and 64.

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 common difference in an arithmetic sequence?

Back

The common difference is the constant amount that is added to each term to get the next term in the sequence.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the fixed number that each term is multiplied by to get the next term in the sequence.

Front

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

Back

To identify a pattern, look for consistent changes between terms, such as addition, subtraction, multiplication, or division.