Common Difference of Arithmetic Progression given Last Term Calculator

✖The Last Term of Progression is the term at which the given Progression terminates.ⓘ Last Term of Progression [l]			+10% -10%
✖The First Term of Progression is the term at which the given Progression starts.ⓘ First Term of Progression [a]			+10% -10%
✖The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.ⓘ Number of Total Terms of Progression [n_Total]			+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 Last Term [d]

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Common Difference of Arithmetic Progression given Last Term Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))
d = ((l-a)/(n_Total-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.
Last Term of Progression - The Last Term of Progression is the term at which the given Progression terminates.
First Term of Progression - The First Term of Progression is the term at which the given Progression starts.
Number of Total Terms of Progression - The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.

STEP 1: Convert Input(s) to Base Unit

Last Term of Progression: 100 --> No Conversion Required
First Term of Progression: 3 --> No Conversion Required
Number of Total Terms of Progression: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((l-a)/(n_Total-1)) --> ((100-3)/(10-1))

Evaluating ... ...

d = 10.7777777777778

STEP 3: Convert Result to Output's Unit

10.7777777777778 --> No Conversion Required

FINAL ANSWER

10.7777777777778 ≈ 10.77778 <-- Common Difference of Progression

(Calculation completed in 00.020 seconds)

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Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

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< Common Difference of Arithmetic Progression Calculators

Common Difference of Arithmetic Progression given Pth and Qth Terms

LaTeX 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

LaTeX 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

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

Common Difference of Arithmetic Progression

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

< Arithmetic Progression Calculators

Sum of First N Terms of Arithmetic Progression

LaTeX 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))

Sum of Total Terms of Arithmetic Progression given Last Term

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

Nth Term of Arithmetic Progression

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

Common Difference of Arithmetic Progression

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

Common Difference of Arithmetic Progression given Last Term Formula

LaTeX Go

Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))
d = ((l-a)/(n_Total-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 Last Term?

Common Difference of Arithmetic Progression given Last Term calculator uses Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1)) to calculate the Common Difference of Progression, The Common Difference of Arithmetic Progression given Last Term formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant, and calculated using the first term, last term and the number of terms in an Arithmetic Progression. Common Difference of Progression is denoted by d symbol.

How to calculate Common Difference of Arithmetic Progression given Last Term using this online calculator? To use this online calculator for Common Difference of Arithmetic Progression given Last Term, enter Last Term of Progression (l), First Term of Progression (a) & Number of Total Terms of Progression (n_Total) and hit the calculate button. Here is how the Common Difference of Arithmetic Progression given Last Term calculation can be explained with given input values -> 13.85714 = ((100-3)/(10-1)).

FAQ

What is Common Difference of Arithmetic Progression given Last Term?

The Common Difference of Arithmetic Progression given Last Term formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant, and calculated using the first term, last term and the number of terms in an Arithmetic Progression and is represented as d = ((l-a)/(n_Total-1)) or Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1)). The Last Term of Progression is the term at which the given Progression terminates, The First Term of Progression is the term at which the given Progression starts & The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.

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

The Common Difference of Arithmetic Progression given Last Term formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant, and calculated using the first term, last term and the number of terms in an Arithmetic Progression is calculated using Common Difference of Progression = ((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1)). To calculate Common Difference of Arithmetic Progression given Last Term, you need Last Term of Progression (l), First Term of Progression (a) & Number of Total Terms of Progression (n_Total). With our tool, you need to enter the respective value for Last Term of Progression, First Term of Progression & Number of Total Terms 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 Last Term of Progression, First Term of Progression & Number of Total Terms of Progression. We can use 3 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 = 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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