Common Difference of Arithmetic Progression given Pth and Qth Terms Calculator

✖The Qth Term of Progression is the term corresponding to the index or position q from the beginning of the given Progression.ⓘ Qth Term of Progression [T_q]			+10% -10%
✖The Pth Term of Progression is the term corresponding to the index or position p from the beginning of the given Progression.ⓘ Pth Term of Progression [T_p]			+10% -10%
✖The Index Q of Progression is the value of q for the qth term or the position of the qth term in the Progression.ⓘ Index Q of Progression [q]			+10% -10%
✖The Index P of Progression is the value of p for the pth term or the position of the pth term in the Progression.ⓘ Index P of Progression [p]			+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 Pth and Qth Terms [d]

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Common Difference of Arithmetic Progression given Pth and Qth Terms Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))
d = ((T_q-T_p)/(q-p))
This formula uses 5 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.
Qth Term of Progression - The Qth Term of Progression is the term corresponding to the index or position q from the beginning of the given Progression.
Pth Term of Progression - The Pth Term of Progression is the term corresponding to the index or position p from the beginning of the given Progression.
Index Q of Progression - The Index Q of Progression is the value of q for the qth term or the position of the qth term in the Progression.
Index P of Progression - The Index P of Progression is the value of p for the pth term or the position of the pth term in the Progression.

STEP 1: Convert Input(s) to Base Unit

Qth Term of Progression: 80 --> No Conversion Required
Pth Term of Progression: 50 --> No Conversion Required
Index Q of Progression: 8 --> No Conversion Required
Index P of Progression: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((T_q-T_p)/(q-p)) --> ((80-50)/(8-5))

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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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

Common Difference of Arithmetic Progression given Pth and Qth Terms Formula

LaTeX Go

Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))
d = ((T_q-T_p)/(q-p))

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 Pth and Qth Terms?

Common Difference of Arithmetic Progression given Pth and Qth Terms calculator uses Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression)) to calculate the Common Difference of Progression, The Common Difference of Arithmetic Progression given Pth and Qth Terms formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant, and calculated using the pth and the qth terms of an Arithmetic Progression. Common Difference of Progression is denoted by d symbol.

How to calculate Common Difference of Arithmetic Progression given Pth and Qth Terms using this online calculator? To use this online calculator for Common Difference of Arithmetic Progression given Pth and Qth Terms, enter Qth Term of Progression (T_q), Pth Term of Progression (T_p), Index Q of Progression (q) & Index P of Progression (p) and hit the calculate button. Here is how the Common Difference of Arithmetic Progression given Pth and Qth Terms calculation can be explained with given input values -> -11 = ((80-50)/(8-5)).

FAQ

What is Common Difference of Arithmetic Progression given Pth and Qth Terms?

The Common Difference of Arithmetic Progression given Pth and Qth Terms formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant, and calculated using the pth and the qth terms of an Arithmetic Progression and is represented as d = ((T_q-T_p)/(q-p)) or Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression)). The Qth Term of Progression is the term corresponding to the index or position q from the beginning of the given Progression, The Pth Term of Progression is the term corresponding to the index or position p from the beginning of the given Progression, The Index Q of Progression is the value of q for the qth term or the position of the qth term in the Progression & The Index P of Progression is the value of p for the pth term or the position of the pth term in the Progression.

How to calculate Common Difference of Arithmetic Progression given Pth and Qth Terms?

The Common Difference of Arithmetic Progression given Pth and Qth Terms formula is defined as the difference between two consecutive terms of an Arithmetic Progression, which is always a constant, and calculated using the pth and the qth terms of an Arithmetic Progression is calculated using Common Difference of Progression = ((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression)). To calculate Common Difference of Arithmetic Progression given Pth and Qth Terms, you need Qth Term of Progression (T_q), Pth Term of Progression (T_p), Index Q of Progression (q) & Index P of Progression (p). With our tool, you need to enter the respective value for Qth Term of Progression, Pth Term of Progression, Index Q of Progression & Index P 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 Qth Term of Progression, Pth Term of Progression, Index Q of Progression & Index P 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 = ((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

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