Arithmetic and 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.

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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.

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 {3, 7, 11, 15, ...}?

Back

The common difference is 4.

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

Is the sequence {5, 10, 15, 20, ...} Arithmetic, Geometric, or Neither?

Back

Arithmetic.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence {1, 2, 4, 8, ...} Arithmetic, Geometric, or Neither?

Back

Geometric.

Tags

CCSS.HSF.BF.A.2

Front

Find the 4th term of the arithmetic sequence {2, 5, 8, ...}.

Back

The 4th term is 11.

Tags

CCSS.HSF.BF.A.2

Front

Find the 5th term of the geometric sequence {3, 9, 27, ...}.

Back

The 5th term is 243.

Tags

CCSS.HSF.BF.A.2