sequences

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

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CCSS.HSF.BF.A.2

Front

What is an arithmetic sequence?

Back

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

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

Front

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

Back

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

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

What is the common difference in the sequence 5, 10, 15, 20?

Back

The common difference is 5.

Tags

CCSS.HSF.BF.A.2

Front

What is the common ratio in the sequence 2, 6, 18, 54?

Back

The common ratio is 3.

Tags

CCSS.HSF.BF.A.2

Front

Find the 5th term of the arithmetic sequence 3, 7, 11, 15, ...

Back

The 5th term is 19.

Tags

CCSS.HSF.BF.A.2

Front

Find the 4th term of the geometric sequence 4, 12, 36, 108, ...

Back

The 4th term is 324.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 10, 20, 30, 40 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of 10.

Tags

CCSS.HSF.BF.A.2