Arithmetic and Geometric Sequences Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

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

Back

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 formula for the nth term of a geometric sequence?

Back

Front

How do you find the common difference in an arithmetic sequence?

Back

Front

How do you find the common ratio in a geometric sequence?

Back

Front

What is a recursive formula?

Back

Front

What is the first term of the sequence defined by f(1)=100, f(x)=f(x-1)*(1/5)?

Back

The first term of the sequence is 100.

Front

What are the first five terms of the sequence defined by f(1)=100, f(x)=f(x-1)*(1/5)?

Back

The first five terms are: 100, 20, 4, 4/5, 4/25.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

In an arithmetic sequence, the difference between terms is constant (common difference), while in a geometric sequence, the ratio between terms is constant (common ratio).