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

Define an arithmetic sequence.

Back

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

Front

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

Back

Front

Define a geometric sequence.

Back

A geometric sequence is a sequence in which 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 formula for the nth term of a geometric sequence?

Back

Front

How do you find the sum of the first n terms of an arithmetic series?

Back

Front

How do you find the sum of the first n terms of a geometric series?

Back

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 common ratio in a geometric sequence?

Back

The common ratio is the constant factor by which each term is multiplied to get the next term.