Arithmetic and Geometric Sequences

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What is an Arithmetic Sequence?

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An Arithmetic Sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference (d). For example, in the sequence 2, 4, 6, 8, the common difference is 2.

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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 (r). For example, in the sequence 3, 6, 12, 24, the common ratio is 2.

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CCSS.HSF.BF.A.2

Front

How do you find the nth term of an Arithmetic Sequence?

Back

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CCSS.HSF.BF.A.2

Front

How do you find the nth term of a Geometric Sequence?

Back

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CCSS.HSF.BF.A.2

Front

What is the common difference in an Arithmetic Sequence?

Back

The common difference in an Arithmetic Sequence is the constant amount that each term increases or decreases by. It is calculated by subtracting any term from the subsequent term.

Tags

CCSS.HSF.BF.A.2

Front

What is the common ratio in a Geometric Sequence?

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The common ratio in a Geometric Sequence is the fixed number that each term is multiplied by to get the next term. It is calculated by dividing any term by the previous term.

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CCSS.HSF.BF.A.2

Front

What is a Recursive Formula?

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CCSS.HSF.BF.A.2

Front

What is an Explicit Formula?

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CCSS.HSF.BF.A.2

Front

How can you identify an Arithmetic Sequence?

Back

An Arithmetic Sequence can be identified by checking if the difference between consecutive terms is constant. For example, in the sequence 5, 10, 15, 20, the difference is always 5.

Tags

CCSS.HSF.BF.A.2

Front

How can you identify a Geometric Sequence?

Back

A Geometric Sequence can be identified by checking if the ratio of consecutive terms is constant. For example, in the sequence 2, 6, 18, 54, the ratio is always 3.

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CCSS.HSF.BF.A.2