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

GoLast Term of Arithmetic Progression 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 = (\frac{S n(End)}{n} - \frac{d \cdot (1 - n)}{2})

l - Last Term of Progression?S_n(End) - Sum of Last N Terms of Progression?n - Index N of Progression?d - Common Difference of Progression?

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

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

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

Here is how the Last Term of Arithmetic Progression given Sum of Last N Terms equation looks like.

143.3333 = (\frac{800}{6} - \frac{4 \cdot (1 - 6)}{2})

143.3333 = (\frac{800}{6} - \frac{4 \cdot (1 - 6)}{2})

143.3333 = (\frac{800}{6} - \frac{4 \cdot (1 - 6)}{2})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = (\frac{800}{6} - \frac{4 \cdot (1 - 6)}{2})

Next Step Prepare to Evaluate

∴

l = (\frac{800}{6} - \frac{4 \cdot (1 - 6)}{2})

Next Step Evaluate

∴

l = 143.333333333333

LAST Step Rounding Answer

∴

l = 143.3333

Last Term of Arithmetic Progression given Sum of Last N Terms 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

Sum of Last N Terms of Progression

The Sum of Last N Terms of Progression is the summation of the terms starting from the end to the nth term of a given Progression.

Symbol: S_n(End)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sum of Last N Terms 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 Last Term of Progression

Go Last Term of Arithmetic Progression

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

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 given Sum of Last N Terms?

Last Term of Arithmetic Progression given Sum of Last N Terms evaluator uses 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) to evaluate the Last Term of Progression, The Last Term of Arithmetic Progression given Sum of Last N Terms formula is defined as the term at which the given Arithmetic Progression terminates and calculated using the sum of the last n terms of the Arithmetic Progression. Last Term of Progression is denoted by l symbol.

How to evaluate Last Term of Arithmetic Progression given Sum of Last N Terms using this online evaluator? To use this online evaluator for Last Term of Arithmetic Progression given Sum of Last N Terms, enter Sum of Last N Terms of Progression (S_n(End)), Index N of Progression (n) & Common Difference of Progression (d) and hit the calculate button.

FAQs on Last Term of Arithmetic Progression given Sum of Last N Terms

What is the formula to find Last Term of Arithmetic Progression given Sum of Last N Terms?

The formula of Last Term of Arithmetic Progression given Sum of Last N Terms is expressed as 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). Here is an example- 36.66667 = (800/6-(4*(1-6))/2).

How to calculate Last Term of Arithmetic Progression given Sum of Last N Terms?

With Sum of Last N Terms of Progression (S_n(End)), Index N of Progression (n) & Common Difference of Progression (d) we can find Last Term of Arithmetic Progression given Sum of Last N Terms using the formula - 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).

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=((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 given Sum of Last N Terms Formula

​GoLast Term of Arithmetic Progression Formula

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

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

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

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

Other Formulas to find Last Term of Progression

How to Evaluate Last Term of Arithmetic Progression given Sum of Last N Terms?

FAQs on Last Term of Arithmetic Progression given Sum of Last N Terms

Variable Name

GoLast Term of Arithmetic Progression Formula

GoLast Term of Arithmetic Progression given Pth and Qth Terms Formula