Algebra 1 - Sequences and Patterns

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, in the sequence 2, 4, 6, 8, the common difference is 2.

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CCSS.HSF.BF.A.2

Front

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

Back

To find the nth term of an arithmetic sequence, use the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.

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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, 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 a geometric sequence?

Back

To find the nth term of a geometric sequence, use the formula: a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the term number.

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CCSS.HSF.BF.A.2

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the amount added to each term to get the next term in an arithmetic sequence. For example, in the sequence 5, 8, 11, the common difference is 3.

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CCSS.HSF.BF.A.2

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term is multiplied to get the next term in a geometric sequence. For example, in the sequence 2, 6, 18, the common ratio is 3.

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CCSS.HSF.BF.A.2

Front

Find the 8th term in the sequence: 3, 5, 7, 9, 11, ...

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16

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CCSS.HSF.BF.A.2

Front

Find the slope of the line that passes through the points (2, 3) and (4, 6).

Back

The slope is 3/2.

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CCSS.8.EE.B.5

Front

If you have $10 in your bank account and it doubles every month, how much will you have after 5 months?

Back

$320

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CCSS.HSF.BF.A.2

Front

What is the 67th term of the arithmetic sequence: 13, 22, 31, 40, ...?

Back

607

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CCSS.HSF.BF.A.2