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Nth Term of Arithmetic Progression given Last Term Formula

GoNth Term of Arithmetic Progression Formula

GoNth Term of Arithmetic Progression given Pth and Qth Terms Formula

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

T_n - Nth Term of Progression?a - First Term of Progression?n - Index N of Progression?l - Last Term of Progression?n_Total - Number of Total Terms of Progression?

Nth Term of Arithmetic Progression given Last Term Example

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

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

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

56.8889 = 3 + (6 - 1) \cdot (\frac{100 - 3}{10 - 1})

56.8889 = 3 + (6 - 1) \cdot (\frac{100 - 3}{10 - 1})

56.8889 = 3 + (6 - 1) \cdot (\frac{100 - 3}{10 - 1})

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Nth Term of Arithmetic Progression given Last Term Solution

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

FIRST Step Consider the formula

T n = a + (n - 1) \cdot (\frac{l - a}{n Total - 1})

Next Step Substitute values of Variables

∴

T n = 3 + (6 - 1) \cdot (\frac{100 - 3}{10 - 1})

Next Step Prepare to Evaluate

∴

T n = 3 + (6 - 1) \cdot (\frac{100 - 3}{10 - 1})

Next Step Evaluate

∴

T n = 56.8888888888889

LAST Step Rounding Answer

∴

T n = 56.8889

Nth Term of Arithmetic Progression given Last Term 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

Last Term of Progression

The Last Term of Progression is the term at which the given Progression terminates.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Last Term of Progression

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.

Symbol: n_Total

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Total Terms of Progression

Other Formulas to find Nth Term of Progression

Go Nth Term of Arithmetic Progression

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

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})

Go Nth Term of Arithmetic Progression given Sum of First N Terms

T n = (\frac{2 \cdot S n}{n}) - a

Other formulas in Nth Term of Arithmetic Progression category

Go Nth Term from End of Arithmetic Progression

T n(End) = a + (n Total - n) \cdot d

Go Nth Term from End of Arithmetic Progression given Last Term

T n(End) = l - (n - 1) \cdot d

How to Evaluate Nth Term of Arithmetic Progression given Last Term?

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

How to evaluate Nth Term of Arithmetic Progression given Last Term using this online evaluator? To use this online evaluator for Nth Term of Arithmetic Progression given Last Term, enter First Term of Progression (a), Index N of Progression (n), Last Term of Progression (l) & Number of Total Terms of Progression (n_Total) and hit the calculate button.

FAQs on Nth Term of Arithmetic Progression given Last Term

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

The formula of Nth Term of Arithmetic Progression given Last Term is expressed as Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1)). Here is an example- 72.28571 = 3+(6-1)*((100-3)/(10-1)).

How to calculate Nth Term of Arithmetic Progression given Last Term?

With First Term of Progression (a), Index N of Progression (n), Last Term of Progression (l) & Number of Total Terms of Progression (n_Total) we can find Nth Term of Arithmetic Progression given Last Term using the formula - Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1)).

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

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Nth Term of Arithmetic Progression given Last Term Formula

​GoNth Term of Arithmetic Progression Formula

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

Nth Term of Arithmetic Progression given Last Term Example

Nth Term of Arithmetic Progression given Last Term Solution

Nth Term of Arithmetic Progression given Last Term 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 given Last Term?

FAQs on Nth Term of Arithmetic Progression given Last Term

Variable Name

GoNth Term of Arithmetic Progression Formula

GoNth Term of Arithmetic Progression given Pth and Qth Terms Formula