Common Difference of Arithmetic Progression given Nth Term 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 First Term of Progression is the term at which the given Progression starts.ⓘ First Term of Progression [a]			+10% -10%
✖The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.ⓘ Index N of Progression [n]			+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 given Nth Term [d]

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Formula

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Common Difference of Arithmetic Progression given Nth Term

Formula

`"d" = ("T"_{"n"}-"a")/("n"-1)`

Example

`"11.4"=("60"-"3")/("6"-1)`

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Common Difference of Arithmetic Progression given Nth Term Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Difference of Progression = (Nth Term of Progression-First Term of Progression)/(Index N of Progression-1)
d = (T_n-a)/(n-1)
This formula uses 4 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.
First Term of Progression - The First Term of Progression is the term at which the given Progression starts.
Index N of Progression - The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.

STEP 1: Convert Input(s) to Base Unit

Nth Term of Progression: 60 --> No Conversion Required
First Term of Progression: 3 --> No Conversion Required
Index N of Progression: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (T_n-a)/(n-1) --> (60-3)/(6-1)

Evaluating ... ...

d = 11.4

STEP 3: Convert Result to Output's Unit

11.4 --> No Conversion Required

FINAL ANSWER

11.4 <-- Common Difference of Progression

(Calculation completed in 00.005 seconds)

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Created by Mayank Tayal

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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

Common Difference of Arithmetic Progression given Nth Term Formula

Common Difference of Progression = (Nth Term of Progression-First Term of Progression)/(Index N of Progression-1)
d = (T_n-a)/(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 given Nth Term?

Common Difference of Arithmetic Progression given Nth Term calculator uses Common Difference of Progression = (Nth Term of Progression-First Term of Progression)/(Index N of Progression-1) to calculate the Common Difference of Progression, The Common Difference of Arithmetic Progression given Nth Term formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant and calculated using the nth term of Arithmetic Progression. Common Difference of Progression is denoted by d symbol.

How to calculate Common Difference of Arithmetic Progression given Nth Term using this online calculator? To use this online calculator for Common Difference of Arithmetic Progression given Nth Term, enter Nth Term of Progression (T_n), First Term of Progression (a) & Index N of Progression (n) and hit the calculate button. Here is how the Common Difference of Arithmetic Progression given Nth Term calculation can be explained with given input values -> 274.4 = (60-3)/(6-1).

FAQ

What is Common Difference of Arithmetic Progression given Nth Term?

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

How to calculate Common Difference of Arithmetic Progression given Nth Term?

The Common Difference of Arithmetic Progression given Nth Term formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant and calculated using the nth term of Arithmetic Progression is calculated using Common Difference of Progression = (Nth Term of Progression-First Term of Progression)/(Index N of Progression-1). To calculate Common Difference of Arithmetic Progression given Nth Term, you need Nth Term of Progression (T_n), First Term of Progression (a) & Index N of Progression (n). With our tool, you need to enter the respective value for Nth Term of Progression, First Term of Progression & Index N 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, First Term of Progression & Index N of Progression. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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