Find the common ratio of the geometric sequence calculator

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.

Common Ratio of Geometric Sequence Calculator: Are you looking for a tool that displays the sum of a geometric sequence? Then this calculator is for you. Just by giving input, you will get the output. Also provided with steps, definitions, formulas, and some solved examples.

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,

an = a * rn - 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

an = a*rn - 1

a1 = 4 × 31 - 1= 4.

a2 = 4 × 32 - 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, an = a*rn - 1.

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About Geometric Sequence Calculator

This Geometric Sequence Calculator is used to calculate the nth term and the sum of the first n terms of a geometric sequence.

FAQ

In mathematics, a geometric sequence, also known as a geometric progression, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio. The sum of the numbers in a geometric progression is also known as a geometric series.

If the initial term of a geometric sequence is a1 and the common ratio is r, then the nth term of the sequence is given by:

an = a1rn-1

Common ratio Solution

STEP 0: Pre-Calculation Summary

STEP 1: Convert Input(s) to Base Unit

Any term: 3 --> No Conversion Required
Preceding term: 2 --> No Conversion Required

STEP 2: Evaluate Formula

STEP 3: Convert Result to Output's Unit

1.5 --> No Conversion Required

Credits

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

10+ Geometric Progression Calculators

Common ratio Formula

Common Ratio = Any term/Preceding term
r = a/p

What is a geometric progressiion?

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio

How to Calculate Common ratio?

Common ratio calculator uses Common Ratio = Any term/Preceding term to calculate the Common Ratio, The Common ratio formula is defined as in a geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio. Common Ratio is denoted by r symbol.

How to calculate Common ratio using this online calculator? To use this online calculator for Common ratio, enter Any term (a) & Preceding term (p) and hit the calculate button. Here is how the Common ratio calculation can be explained with given input values -> 1.5 = 3/2.

FAQ

What is Common ratio?

The Common ratio formula is defined as in a geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio and is represented as r = a/p or Common Ratio = Any term/Preceding term. Any term is the value of any number in a given series & Preceding term is the number preceding a given value.

How to calculate Common ratio?

The Common ratio formula is defined as in a geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio is calculated using Common Ratio = Any term/Preceding term. To calculate Common ratio, you need Any term (a) & Preceding term (p). With our tool, you need to enter the respective value for Any term & Preceding term and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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

How do you find r in a geometric sequence?

How do you find the common ratio of a geometric sequence if you have given 2 consecutive term?

How do you find the common ratio of a term?