Front

What is an arithmetic sequence?

Back

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

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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.

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CCSS.HSF.BF.A.2

Front

How do you find 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.

Tags

CCSS.HSF.BF.A.2

Front

How do you find 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.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence 2, 5, 8, 11, ...?

Back

The common difference is 3.

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CCSS.HSF.BF.A.2

Front

What is the common ratio in the sequence 3, 9, 27, 81, ...?

Back

The common ratio is 3.

Tags

CCSS.HSF.BF.A.2

Front

Find the 8th term of the arithmetic sequence: 4, 7, 10, 13, ...

Back

The 8th term is 25.

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CCSS.HSF.BF.A.2

Front

Find the 5th term of the geometric sequence: 2, 6, 18, 54, ...

Back

The 5th term is 162.

Tags

CCSS.HSF.BF.A.2

Front

Identify whether the sequence 1, 4, 9, 16, ... is arithmetic, geometric, or neither.

Back

It is neither; it is a sequence of perfect squares.

Tags

CCSS.HSF.BF.A.2

Front

Identify whether the sequence 2, 4, 8, 16, ... is arithmetic, geometric, or neither.

Back

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

Tags

CCSS.HSF.BF.A.2