Understanding Sequences and Series

Front

What is a sequence?

Back

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

Front

What is a series?

Back

A series is the sum of the terms of a sequence.

Front

What is the first term in the sequence 1, 3, 5, 9, 11?

Back

The first term is 1.

Front

What is the second term in the sequence 1, 3, 5, 9, 11?

Back

The second term is 3.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get the next term.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

What is the first term in the sequence -5, 25, -125, 625?

Back

The first term is -5.

Front

What is the common difference in the sequence 1, 3, 5, 9?

Back

The common difference is 2.

Front

What is the formula for the sum of the first n terms of an arithmetic series?

Back

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence where each term is found by multiplying the previous term by a constant called the common ratio.