Levels 1-3: PC Unit 5-Sequence and Series

Front

What is an initial term in a sequence?

Back

The first term of a sequence, often denoted as a_1.

Front

What does 'k' represent in a sequence?

Back

A constant value that may define a specific term or property of the sequence.

Front

What is an arithmetic series?

Back

A series where the difference between consecutive terms is constant.

Front

What is a geometric series?

Back

A series where each term is a constant multiple of the previous term.

Front

What does it mean if a series is classified as 'neither'?

Back

It means the series does not fit the definitions of arithmetic or geometric.

Front

What is the starting index value in a sequence?

Back

The index at which the sequence begins, typically 1 or 0.

Front

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

Back

Use the formula: a_n = a_1 + (n-1)d, where d is the common difference.

Front

How do you find the nth term of a geometric sequence?

Back

Use the formula: a_n = a_1 * r^(n-1), where r is the common ratio.

Front

What is the common difference in an arithmetic sequence?

Back

The constant value added to each term to get the next term.

Front

What is the common ratio in a geometric sequence?

Back

The constant value multiplied to each term to get the next term.