Arithmetic Vs Geometric Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, 2, 4, 6, 8 is an arithmetic sequence with a common difference of 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. For example, 3, 6, 12, 24 is a geometric sequence with a common ratio of 2.

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CCSS.HSF.BF.A.2

Front

Identify the common difference in the arithmetic sequence: 5, 8, 11, 14.

Back

The common difference is 3.

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CCSS.HSF.BF.A.2

Front

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

Back

The common ratio is 3.

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

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CCSS.HSF.BF.A.2

Front

What kind of sequence is: 10, 20, 40, 80?

Back

Geometric.

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CCSS.HSF.BF.A.2

Front

What kind of sequence is: 15, 12, 9, 6?

Back

Arithmetic.

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CCSS.HSF.BF.A.2

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term in an arithmetic sequence, add the common difference to the last term.

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CCSS.HSF.BF.A.2

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 term by the common ratio.

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CCSS.HSF.BF.A.2