Recognizing Patterns & Sequences

Front

What is a numeric sequence?

Back

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

Front

How do you identify a pattern in a sequence?

Back

To identify a pattern, look for a consistent relationship between the numbers, such as addition, subtraction, multiplication, or division.

Front

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

Back

10 (The pattern is adding 2 each time.)

Front

What is a missing number in a sequence?

Back

A missing number is a number that should be present in a sequence based on the established pattern.

Front

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

Back

An arithmetic sequence adds a constant value, while a geometric sequence multiplies by a constant value.

Front

What is the formula for 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.

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What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

How can you represent a pattern visually?

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You can represent a pattern visually using graphs, charts, or diagrams to show the relationship between numbers.

Front

What is a term in a sequence?

Back

A term is an individual number in a sequence.

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What does it mean to extend a sequence?

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To extend a sequence means to continue the pattern to find additional terms.