Patterns

Front

What is a pattern?

Back

A pattern is a repeated decorative design or a sequence that follows a specific rule or formula.

Front

How do you identify a pattern in a sequence?

Back

To identify a pattern, look for a consistent rule that describes how the sequence progresses, such as addition, subtraction, multiplication, or division.

Front

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

Back

10 (The pattern adds 2 each time).

Front

What is the formula for finding the nth term of an arithmetic sequence?

Back

The nth term 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 pattern?

Back

A geometric pattern is a sequence where each term is found by multiplying the previous term by a constant factor.

Front

What is the next number in the pattern: 3, 6, 12, 24, ...?

Back

48 (The pattern multiplies each term by 2).

Front

How can patterns be represented visually?

Back

Patterns can be represented visually using shapes, colors, or numbers arranged in a specific order or design.

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.

Front

What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, ...?

Back

8 (The next number is the sum of 3 and 5).

Front

What is a tessellation?

Back

A tessellation is a pattern of shapes that fit together perfectly without any gaps or overlaps.