FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Nth Term of Arithmetic Progression Formula

GoNth Term of Arithmetic Progression given Pth and Qth Terms Formula

Fx Copy

LaTeX Copy

The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression. Check FAQs

T n = a + (n - 1) \cdot d

T_n - Nth Term of Progression?a - First Term of Progression?n - Index N of Progression?d - Common Difference of Progression?

Nth Term of Arithmetic Progression Example

With values

With units

Only example

Here is how the Nth Term of Arithmetic Progression equation looks like with Values.

Here is how the Nth Term of Arithmetic Progression equation looks like with Units.

Here is how the Nth Term of Arithmetic Progression equation looks like.

23 = 3 + (6 - 1) \cdot 4

23 = 3 + (6 - 1) \cdot 4

23 = 3 + (6 - 1) \cdot 4

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Sequence and Series » Category

AP,GP and HP » fx Nth Term of Arithmetic Progression

Nth Term of Arithmetic Progression Solution

Follow our step by step solution on how to calculate Nth Term of Arithmetic Progression?

FIRST Step Consider the formula

T n = a + (n - 1) \cdot d

Next Step Substitute values of Variables

∴

T n = 3 + (6 - 1) \cdot 4

Next Step Prepare to Evaluate

∴

T n = 3 + (6 - 1) \cdot 4

LAST Step Evaluate

∴

T n = 23

Nth Term of Arithmetic Progression Formula Elements

Variables

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.

Symbol: T_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nth Term of Progression

First Term of Progression

The First Term of Progression is the term at which the given Progression starts.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Term of Progression

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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Index N of Progression

Common Difference of Progression

The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.

Symbol: d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Difference of Progression

Other Formulas to find Nth Term of Progression

Go Nth Term of Arithmetic Progression given Pth and Qth Terms

T n = (\frac{T p \cdot (q - 1) - T q \cdot (p - 1)}{q - p}) + (n - 1) \cdot (\frac{T q - T p}{q - p})

Other formulas in Nth Term of Arithmetic Progression category

Go Common Difference of Arithmetic Progression

d = T n - T n-1

Go Sum of First N Terms of Arithmetic Progression

S n = (\frac{n}{2}) \cdot ((2 \cdot a) + ((n - 1) \cdot d))

Go Sum of Total Terms of Arithmetic Progression given Last Term

S Total = (\frac{n Total}{2}) \cdot (a + l)

Go Common Difference of Arithmetic Progression given Last Term

d = (\frac{l - a}{n Total - 1})

How to Evaluate Nth Term of Arithmetic Progression?

Nth Term of Arithmetic Progression evaluator uses Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*Common Difference of Progression to evaluate the Nth Term of Progression, The Nth Term of Arithmetic Progression formula is defined as the term corresponding to the index or position n from the beginning in the given Arithmetic Progression. Nth Term of Progression is denoted by T_n symbol.

How to evaluate Nth Term of Arithmetic Progression using this online evaluator? To use this online evaluator for Nth Term of Arithmetic Progression, enter First Term of Progression (a), Index N of Progression (n) & Common Difference of Progression (d) and hit the calculate button.

FAQs on Nth Term of Arithmetic Progression

What is the formula to find Nth Term of Arithmetic Progression?

The formula of Nth Term of Arithmetic Progression is expressed as Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*Common Difference of Progression. Here is an example- 23 = 3+(6-1)*4.

How to calculate Nth Term of Arithmetic Progression?

With First Term of Progression (a), Index N of Progression (n) & Common Difference of Progression (d) we can find Nth Term of Arithmetic Progression using the formula - Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*Common Difference of Progression.

What are the other ways to Calculate Nth Term of Progression?

Here are the different ways to Calculate Nth Term of Progression-

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))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Nth Term of Arithmetic Progression Formula

​GoNth Term of Arithmetic Progression given Pth and Qth Terms Formula

Nth Term of Arithmetic Progression Example

Nth Term of Arithmetic Progression Solution

Nth Term of Arithmetic Progression Formula Elements

Other Formulas to find Nth Term of Progression

Other formulas in Nth Term of Arithmetic Progression category

How to Evaluate Nth Term of Arithmetic Progression?

FAQs on Nth Term of Arithmetic Progression

Variable Name

GoNth Term of Arithmetic Progression given Pth and Qth Terms Formula