PATTERNS

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, allowing for predictions about what comes next.

Front

What is the next number in the sequence: 2, 4, 6, 8, ?

Back

10

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 numbers, such as addition, subtraction, multiplication, or division.

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 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.

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 the sequence: 3, 7, 11, 15, ?

Back

The common difference is 4.

Front

What is the common ratio in the sequence: 2, 6, 18, 54, ?

Back

The common ratio is 3.

Front

How do you find the next term in a geometric sequence?

Back

To find the next term in a geometric sequence, multiply the last known term by the common ratio.

Front

What is a Fibonacci sequence?

Back

A Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1.