# 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. Like above said you can find any calculations through find the common ratio calculator, geometric common ratio calculator, find the common ratio of the geometric sequence calculator, geometric ratio calculator, and common ratio solver.

## 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}.