Sequence and Series Review

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

What is the sum of the first n terms of a geometric series?

Back

Front

What is a recursive formula?

Back

A recursive formula defines each term of a sequence using the preceding term(s).

Front

Back

The first four terms are: -16, -11, -6, -1.