Common Ratio Calculator

Category	Math ↺
Math	Sequence and Series ↺
Sequence-And-Series	Geometric Progression ↺

✖First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. ⓘ First term [a]			+10% -10%
✖Consecutive Term is the term after the term of whom the gp consists of. for exam is the we have to find the common ratio it would be the difference between the first term and the consecutive term .ⓘ Consecutive Term [Tn-1]			+10% -10%

✖Common Ratio is the constant factor between consecutive terms of a geometric sequence.ⓘ Common Ratio [r]

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Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 200+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Sum of first n terms in an AP when common difference is given

Sum of First n terms=(total terms/2)*(2*First term+(total terms-1)*Common difference) GO

Position of pth term when pth term, first term & common difference is given

Position in series p=((pth Term-First term)/Common difference)+1 GO

Common Difference when first term & pth term are given

Common difference=(pth Term-First term)/(Position in series p-1) GO

Number of terms when Sum of first n terms, first term & last term are given

total terms=((2*Sum of First n terms)/(First term+Last term)) GO

Sum of first n terms in an AP when last term is given

Sum of First n terms=(total terms/2)*(First term+Last term) GO

Common Difference when first term, last term & number of terms are given

Common difference=((Last term-First term)/(total terms-1)) GO

Last term when number of terms, first term & common difference are given

Last term=((total terms-1)*Common difference)+First term GO

Number of terms of in an Arithematic Progression

total terms=((Last term-First term)/Common difference)+1 GO

Nth term of an Arithematic Progression

Nth term=First term+(total terms-1)*Common difference GO

Nth term of AP

Nth term=First term+(term number-1)*Common difference GO

Nth term of GP

Nth term=First term*(Common Ratio^(value of n-1)) GO

< 1 Other formulas that calculate the same Output

Common ratio in geometric progression

Common Ratio=Any term/Preceding term GO

Common Ratio Formula

Common Ratio=First term/Consecutive Term
r=a/Tn-1

More formulas

Nth term of GP GO

Sum of first n terms in a finite GP GO

Sum infinite GP when r is less than one GO

nth term from end in a finite GP GO

nth term from the end of finite GP when last term and common ratio is given GO

Geometric Mean of two numbers GO

Sum of infinite GP except first n terms when r<1 GO

Geometric Mean when Harmonic Mean and Arithmetic Mean is given GO

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=First term/Consecutive 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 and is denoted by r symbol.

How to calculate Common Ratio using this online calculator? To use this online calculator for Common Ratio, enter First term (a) and Consecutive Term (Tn-1) and hit the calculate button. Here is how the Common Ratio calculation can be explained with given input values -> 1 = 1/1.

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/Tn-1 or Common Ratio=First term/Consecutive Term. First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. and Consecutive Term is the term after the term of whom the gp consists of. for exam is the we have to find the common ratio it would be the difference between the first term and the consecutive term .

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=First term/Consecutive Term. To calculate Common Ratio, you need First term (a) and Consecutive Term (Tn-1). With our tool, you need to enter the respective value for First term and Consecutive Term and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Common Ratio?

In this formula, Common Ratio uses First term and Consecutive Term. We can use 1 other way(s) to calculate the same, which is/are as follows -

Common Ratio=Any term/Preceding term

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