how to find the common ratio

Credits

Indian Institute of Information Technology (IIIT) , Guwahati

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Walchand College of Engineering (WCE) , Sangli

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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

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 and 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) and 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 and 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) and Preceding term (p). With our tool, you need to enter the respective value for Any term and Preceding 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 Any term and Preceding term. We can use 10 other way(s) to calculate the same, which is/are as follows -

nth_term = First term*(Common Ratio^(Value of n-1))
sum_of_first_n_terms = (First term*((Common Ratio^Value of n)-1))/(Common Ratio-1)
nth_term = Last term/(Common Ratio^(Value of n-1))
common_ratio = Any term/Preceding term
sum_of_first_n_terms = First term/(1-Common Ratio)
nth_term = First term*(Common Ratio^(Total terms-Value of n))
geometric_mean = (Arithmetic Mean*Harmonic Mean)^0.5
geometric_mean = (Term 1*Term 2)^0.5
sum_required = (First term/(1-Common Ratio))-(First term*((Common Ratio^Total terms)-1))/(Common Ratio-1)
nth_term = First term*(Common Ratio)^(Last term-1)

Where is the Common ratio calculator used?

Among many, Common ratio calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}