# Geometric Sequence Calculator

**Created By :** Abhinandan Kumar

**Reviewed By :** Phani Ponnapalli

**Last Updated :** Mar 27, 2023

The common ratio of geometric sequence calculator tool that calculates the sum of a geometric sequence. All you need to do is give the inputs in the input fields and click on the calculate button, which gives you answers straight away.

## Results

###### Value of First term (a_{1}): **-3**

###### Value of Ratio (r): **2**

###### Summation of Sequence: Infinity

Terms | |
---|---|

a_{1} |
-3 |

a_{2} |
-6 |

a_{3} |
-12 |

a_{4} |
-24 |

a_{5} |
-48 |

a_{6} |
-96 |

a_{7} |
-192 |

a_{8} |
-384 |

a_{9} |
-768 |

a_{10} |
-1536 |

### How to Find the Common Ratio of Geometric Sequence?

A geometric sequence is a collection of numbers, that are related by a common ratio.

The formula of the common ratio of a geometric sequence is,

**a _{n} = a * r^{n - 1}**

where

n is the nth term.

r is the common ratio.

Let us see the steps that are given below to calculate the common ratio of the geometric sequence. Follow the guidelines carefully.

- First, give the values that are given in the problem.
- After that, apply the formula and substitute the values in it.
- Finally, you will get the answer.

**Example:**

**Question: **Calculate the geometric sequence up to 2 terms if a = 4, and common ratio(r) = 3.

**Solution:**

Given: a = 4, r = 3

**a _{n} = a*r^{n - 1}**

a_{1} = 4 × 3^{1 - 1}= 4.

a_{2} = 4 × 3^{2}^{ - 1}= 4 x 3 = 12.

Therefore, the geometric sequence is {4, 12}.

Stay tuned to this sequencecalculators.com website that provides all sequence calculator tools which give you instant results.

### FAQs on Common Ratio of Geometric Sequence Calculator

**1. How to use this common ratio of geometric sequence calculator?**

- Give the inputs in the input fields.
- Then, Click on the calculate button.
- Finally, you will get the answer easily.

**2. What is a geometric sequence?**

A geometric sequence is defined as the from one term to the next by multiplying and dividing the values.

**3. How to calculate the geometric sequence?**

A geometric sequence can be calculated by the formula, a_{n} = a*r^{n - 1}.