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Last Term of Arithmetic Progression Formula

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

GoLast Term of Arithmetic Progression given Pth and Qth 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 d)

l - Last Term of Progression?a - First Term of Progression?n_Total - Number of Total Terms of Progression?d - Common Difference of Progression?

Last Term of Arithmetic Progression Example

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

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

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

39 = 3 + ((10 - 1) \cdot 4)

39 = 3 + ((10 - 1) \cdot 4)

39 = 3 + ((10 - 1) \cdot 4)

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Last Term of Arithmetic Progression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = 3 + ((10 - 1) \cdot 4)

Next Step Prepare to Evaluate

∴

l = 3 + ((10 - 1) \cdot 4)

LAST Step Evaluate

∴

l = 39

Last Term of Arithmetic Progression 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

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 Last Term of Progression

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

Go Last Term of Arithmetic Progression given Nth Term

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

How to Evaluate Last Term of Arithmetic Progression?

Last Term of Arithmetic Progression evaluator uses Last Term of Progression = First Term of Progression+((Number of Total Terms of Progression-1)*Common Difference of Progression) to evaluate the Last Term of Progression, The Last Term of Arithmetic Progression formula is defined as term at which the given Arithmetic Progression terminates. Last Term of Progression is denoted by l symbol.

How to evaluate Last Term of Arithmetic Progression using this online evaluator? To use this online evaluator for Last Term of Arithmetic Progression, enter First Term of Progression (a), Number of Total Terms of Progression (n_Total) & Common Difference of Progression (d) and hit the calculate button.

FAQs on Last Term of Arithmetic Progression

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

The formula of Last Term of Arithmetic Progression is expressed as Last Term of Progression = First Term of Progression+((Number of Total Terms of Progression-1)*Common Difference of Progression). Here is an example- 31 = 3+((10-1)*4).

How to calculate Last Term of Arithmetic Progression?

With First Term of Progression (a), Number of Total Terms of Progression (n_Total) & Common Difference of Progression (d) we can find Last Term of Arithmetic Progression using the formula - Last Term of Progression = First Term of Progression+((Number of Total Terms of Progression-1)*Common Difference of Progression).

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=(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))
Last Term of Progression=((2*Sum of Total Terms of Progression)/Number of Total Terms of Progression)-First Term of Progression

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Last Term of Arithmetic Progression Formula

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

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

Last Term of Arithmetic Progression Example

Last Term of Arithmetic Progression Solution

Last Term of Arithmetic Progression Formula Elements

Other Formulas to find Last Term of Progression

How to Evaluate Last Term of Arithmetic Progression?

FAQs on Last Term of Arithmetic Progression

Variable Name

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

GoLast Term of Arithmetic Progression given Pth and Qth Terms Formula