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What is an arithmetic sequence?

Back

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

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CCSS.HSF.BF.A.2

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What is the common difference in an arithmetic sequence?

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The common difference is the fixed amount added to each term to get the next term in an arithmetic sequence.

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CCSS.HSF.BF.A.2

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How do you find the nth term of an arithmetic sequence?

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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.

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

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What is the common ratio in a geometric sequence?

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The common ratio is the factor by which we multiply each term to get the next term in a geometric sequence.

Tags

CCSS.HSF.BF.A.2

Front

How do you find 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.

Tags

CCSS.HSF.BF.A.2

Front

Given the sequence 5, 10, 20, 40, what type of sequence is it?

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It is a geometric sequence with a common ratio of 2.

Tags

CCSS.HSF.BF.A.2

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What is the explicit formula for the arithmetic sequence 8, 14, 20, 26?

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The explicit formula is a_n = 6n + 2.

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CCSS.HSF.BF.A.2

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What is the explicit formula for the geometric sequence 5, 10, 20, 40?

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The explicit formula is a_n = 5(2)^(n-1).

Tags

CCSS.HSF.BF.A.2

Front

How can you determine if a sequence is arithmetic?

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A sequence is arithmetic if the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2