Examples, solutions, videos, worksheets, games and activities to help Algebra II students learn about how to find the nth term of a geometric sequence.

The following figure gives the formula for the nth term of a geometric sequence. Scroll down the page for examples and solutions on how to use the formula.

**What is the formula for a Geometric Sequence?**

The formula for a geometric sequence is

a_{n} = a_{1}r^{n - 1} where a_{1} is the first term and r is the common ratio.

**How to derive the formula of a geometric sequence?**

**How to use the formula to find the nth term of geometric sequence?**

Geometric Sequences: A Formula for the nth Term.

This video shows how derive the formula to find the 'n-th' term of a geometric sequence by considering an example. The formula is then used to find another term of the sequence.**Geometric Sequences**

This video looks at identifying geometric sequences as well as finding the nth term of a geometric sequence.

Examples:

1. Given a_{1} = 5, r = 2, what is the 6th term?

2. Given a_{1} = 11, r = -3, what is a_{8}?
**Finding the nth Term of a Geometric Sequence**

How to find any term of a geometric sequence?

Example:

5, 10, 20, 40, ...**Find the Formula for a Geometric Sequence Given Terms**

This video explains how to find the formula for the nth term of a given geometric sequence given three terms of the sequence.

Example:

Given the information about the geometric sequence, determine the formula for the nth term.

a_{0} = 5, a_{1} = 40/9, a_{3} = 320/81, ...

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

The following figure gives the formula for the nth term of a geometric sequence. Scroll down the page for examples and solutions on how to use the formula.

The formula for a geometric sequence is

a

Geometric Sequences: A Formula for the nth Term.

This video shows how derive the formula to find the 'n-th' term of a geometric sequence by considering an example. The formula is then used to find another term of the sequence.

This video looks at identifying geometric sequences as well as finding the nth term of a geometric sequence.

Examples:

1. Given a

2. Given a

How to find any term of a geometric sequence?

Example:

5, 10, 20, 40, ...

This video explains how to find the formula for the nth term of a given geometric sequence given three terms of the sequence.

Example:

Given the information about the geometric sequence, determine the formula for the nth term.

a

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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