Arithmetic and Geometric Sequences

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 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

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

Back

Front

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

Back

Front

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

Back

Front

What is the formula for the sum of the first n terms of a geometric sequence?

Back

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the fixed number that each term is multiplied by to get the next term in a geometric sequence.

Front

How can you determine if a sequence is arithmetic?

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A sequence is arithmetic if the difference between consecutive terms is constant.

Front

How can you determine if a sequence is geometric?

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A sequence is geometric if the ratio of consecutive terms is constant.