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.

Front

What is the common difference in an arithmetic sequence?

Back

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

Front

Identify the common difference in the sequence: {5, 8, 11, 14, ...}

Back

The common difference is 3.

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.

Front

What is the common ratio in a geometric sequence?

Back

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

Front

Identify the common ratio in the sequence: {2, 6, 18, 54, ...}

Back

The common ratio is 3.

Front

Is the sequence {14, 22, 30, 38, ...} arithmetic, geometric, or neither?

Back

Arithmetic.

Front

Is the sequence {26, 22, 18, 14, ...} arithmetic, geometric, or neither?

Back

Arithmetic.

Front

Which sequence is an arithmetic sequence? {3, 6, 2, 7, ...}, {3, 6, 12, 24, ...}, {3, 6, 10, 15, ...}, {3, 7, 11, 15, ...}

Back

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

Front

Which sequence is a geometric sequence with a common ratio of 2? {5, 3, 1, -1, ...}, {5, 7, 9, 11, ...}, {5, 10, 20, 40, ...}, {5, 15, 45, 135, ...}

Back

{5, 10, 20, 40, ...}.