Sequences

Front

What is a sequence?

Back

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

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CCSS.HSF.BF.A.2

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The nth term of an arithmetic sequence can be expressed as a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The nth term of a geometric sequence can be expressed as a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

Identify the common difference in the sequence: 3, 7, 11, 15.

Back

The common difference is 4.

Tags

CCSS.HSF.BF.A.2

Front

Identify the common ratio in the sequence: 2, 6, 18, 54.

Back

The common ratio is 3.

Tags

CCSS.HSF.BF.A.2

Front

What is the next term in the sequence: 5, 10, 15, 20?

Back

The next term is 25.

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CCSS.3.OA.D.9

Front

Is the sequence 1, 4, 9, 16 an arithmetic sequence?

Back

No, it is a quadratic sequence (perfect squares).

Tags

CCSS.HSF.BF.A.2

Front

What is the next term in the sequence: 2, 4, 8, 16?

Back

The next term is 32.

Tags

CCSS.HSF.BF.A.2