Common Difference of Arithmetic Progression Calculator

✖The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.ⓘ Nth Term of Progression [T_n]			+10% -10%
✖The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.ⓘ (N-1)th Term of Progression [T_n-1]			+10% -10%

✖The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.ⓘ Common Difference of Arithmetic Progression [d]

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Formula

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Common Difference of Arithmetic Progression

Formula

`"d" = "T"_{"n"}-"T"_{"n-1"}`

Example

`"10"="60"-"50"`

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Common Difference of Arithmetic Progression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression
d = T_n-T_n-1
This formula uses 3 Variables

Variables Used

Common Difference of Progression - The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.
Nth Term of Progression - The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.
(N-1)th Term of Progression - The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.

STEP 1: Convert Input(s) to Base Unit

Nth Term of Progression: 60 --> No Conversion Required
(N-1)th Term of Progression: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = T_n-T_n-1 --> 60-50

Evaluating ... ...

d = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Common Difference of Progression

(Calculation completed in 00.004 seconds)

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< 4 Common Difference of Arithmetic Progression Calculators

Common Difference of Arithmetic Progression given Pth and Qth Terms

Go Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))

Common Difference of Arithmetic Progression given Last Term

Go Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))

Common Difference of Arithmetic Progression given Nth Term

Go Common Difference of Progression = (Nth Term of Progression-First Term of Progression)/(Index N of Progression-1)

Common Difference of Arithmetic Progression

Go Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression

< 11 Arithmetic Progression Calculators

Nth Term of Arithmetic Progression given Pth and Qth Terms

Go Nth Term of Progression = ((Pth Term of Progression*(Index Q of Progression-1)-Qth Term of Progression*(Index P of Progression-1))/(Index Q of Progression-Index P of Progression))+(Index N of Progression-1)*((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))

Sum of Terms from Pth to Qth Terms of Arithmetic Progression

Go Sum of Terms from Pth to Qth Terms of Progression = ((Index Q of Progression-Index P of Progression+1)/2)*((2*First Term of Progression)+((Index P of Progression+Index Q of Progression-2)*Common Difference of Progression))

Sum of Last N Terms of Arithmetic Progression

Go Sum of Last N Terms of Progression = (Index N of Progression/2)*((2*First Term of Progression)+(Common Difference of Progression*((2*Number of Total Terms of Progression)-Index N of Progression-1)))

Sum of First N Terms of Arithmetic Progression

Go Sum of First N Terms of Progression = (Index N of Progression/2)*((2*First Term of Progression)+((Index N of Progression-1)*Common Difference of Progression))

Nth Term from End of Arithmetic Progression

Go Nth Term from End of Progression = First Term of Progression+(Number of Total Terms of Progression-Index N of Progression)*Common Difference of Progression

Common Difference of Arithmetic Progression given Last Term

Go Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))

Sum of Total Terms of Arithmetic Progression given Last Term

Go Sum of Total Terms of Progression = (Number of Total Terms of Progression/2)*(First Term of Progression+Last Term of Progression)

Number of Terms of Arithmetic Progression

Go Index N of Progression = ((Nth Term of Progression-First Term of Progression)/Common Difference of Progression)+1

First Term of Arithmetic Progression

Go First Term of Progression = Nth Term of Progression-((Index N of Progression-1)*Common Difference of Progression)

Nth Term of Arithmetic Progression

Go Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*Common Difference of Progression

Common Difference of Arithmetic Progression

Go Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression

Common Difference of Arithmetic Progression Formula

Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression
d = T_n-T_n-1

What is an Arithmetic Progression?

An Arithmetic Progression or simply AP is a sequence of numbers such that successive terms are obtained by adding a constant number to the first term. That fixed number is called the common difference of the Arithmetic Progression. For example, the sequence 2, 5, 8, 11, 14,... is an Arithmetic Progression with first term is 2 and common difference is 3. An AP is a convergent sequence if and only if the common difference is 0, otherwise an AP is always divergent.

How to Calculate Common Difference of Arithmetic Progression?

Common Difference of Arithmetic Progression calculator uses Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression to calculate the Common Difference of Progression, The Common Difference of Arithmetic Progression formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant. Common Difference of Progression is denoted by d symbol.

How to calculate Common Difference of Arithmetic Progression using this online calculator? To use this online calculator for Common Difference of Arithmetic Progression, enter Nth Term of Progression (T_n) & (N-1)th Term of Progression (T_n-1) and hit the calculate button. Here is how the Common Difference of Arithmetic Progression calculation can be explained with given input values -> 1325 = 60-50.

FAQ

What is Common Difference of Arithmetic Progression?

The Common Difference of Arithmetic Progression formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant and is represented as d = T_n-T_n-1 or Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression. The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression & The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.

How to calculate Common Difference of Arithmetic Progression?

The Common Difference of Arithmetic Progression formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant is calculated using Common Difference of Progression = Nth Term of Progression-(N-1)th Term of Progression. To calculate Common Difference of Arithmetic Progression, you need Nth Term of Progression (T_n) & (N-1)th Term of Progression (T_n-1). With our tool, you need to enter the respective value for Nth Term of Progression & (N-1)th Term of Progression 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 Difference of Progression?

In this formula, Common Difference of Progression uses Nth Term of Progression & (N-1)th Term of Progression. We can use 4 other way(s) to calculate the same, which is/are as follows -

Common Difference of Progression = (Nth Term of Progression-First Term of Progression)/(Index N of Progression-1)
Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))
Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))
Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))

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