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Last Term of Arithmetic Progression given Nth Term Formula

GoLast Term of Arithmetic Progression Formula

GoLast Term of Arithmetic Progression given Sum of Last N Terms Formula

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

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

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

Last Term of Arithmetic Progression given Nth Term Example

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

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

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

105.6 = 3 + (10 - 1) \cdot (\frac{60 - 3}{6 - 1})

105.6 = 3 + (10 - 1) \cdot (\frac{60 - 3}{6 - 1})

105.6 = 3 + (10 - 1) \cdot (\frac{60 - 3}{6 - 1})

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Last Term of Arithmetic Progression given Nth Term Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = 3 + (10 - 1) \cdot (\frac{60 - 3}{6 - 1})

Next Step Prepare to Evaluate

∴

l = 3 + (10 - 1) \cdot (\frac{60 - 3}{6 - 1})

LAST Step Evaluate

∴

l = 105.6

Last Term of Arithmetic Progression given Nth Term Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Last Term of Progression

Go Last Term of Arithmetic Progression

l = a + ((n Total - 1) \cdot d)

Go Last Term of Arithmetic Progression given Sum of Last N Terms

l = (\frac{S n(End)}{n} - \frac{d \cdot (1 - n)}{2})

Go Last Term of Arithmetic Progression given Pth and Qth Terms

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

Go Last Term of Arithmetic Progression given Sum of Total Terms

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

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

Last Term of Arithmetic Progression given Nth Term evaluator uses Last Term of Progression = First Term of Progression+(Number of Total Terms of Progression-1)*((Nth Term of Progression-First Term of Progression)/(Index N of Progression-1)) to evaluate the Last Term of Progression, The Last Term of Arithmetic Progression given Nth Term formula is defined as the term at which the given Arithmetic Progression terminates and calculated using the nth term of the Arithmetic Progression. Last Term of Progression is denoted by l symbol.

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

FAQs on Last Term of Arithmetic Progression given Nth Term

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

The formula of Last Term of Arithmetic Progression given Nth Term is expressed as Last Term of Progression = First Term of Progression+(Number of Total Terms of Progression-1)*((Nth Term of Progression-First Term of Progression)/(Index N of Progression-1)). Here is an example- 82.8 = 3+(10-1)*((60-3)/(6-1)).

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

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

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

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

Last Term of Progression=First Term of Progression+((Number of Total Terms of Progression-1)*Common Difference of Progression)
Last Term of Progression=(Sum of Last N Terms of Progression/Index N of Progression-(Common Difference of Progression*(1-Index N of Progression))/2)
Last 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))+(Number of Total Terms of Progression-1)*((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))

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Last Term of Arithmetic Progression given Nth Term Formula

​GoLast Term of Arithmetic Progression Formula

​GoLast Term of Arithmetic Progression given Sum of Last N Terms Formula

Last Term of Arithmetic Progression given Nth Term Example

Last Term of Arithmetic Progression given Nth Term Solution

Last Term of Arithmetic Progression given Nth Term Formula Elements

Other Formulas to find Last Term of Progression

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

FAQs on Last Term of Arithmetic Progression given Nth Term

Variable Name

GoLast Term of Arithmetic Progression Formula

GoLast Term of Arithmetic Progression given Sum of Last N Terms Formula