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

GoSum of Last N Terms of Arithmetic Progression Formula

GoSum of Last N Terms of Arithmetic Progression given Nth Term from End Formula

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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. Check FAQs

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

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

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

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

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

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

540 = (\frac{6}{2}) \cdot ((2 \cdot 100) + (4 \cdot (1 - 6)))

540 = (\frac{6}{2}) \cdot ((2 \cdot 100) + (4 \cdot (1 - 6)))

540 = (\frac{6}{2}) \cdot ((2 \cdot 100) + (4 \cdot (1 - 6)))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S n(End) = (\frac{6}{2}) \cdot ((2 \cdot 100) + (4 \cdot (1 - 6)))

Next Step Prepare to Evaluate

∴

S n(End) = (\frac{6}{2}) \cdot ((2 \cdot 100) + (4 \cdot (1 - 6)))

LAST Step Evaluate

∴

S n(End) = 540

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

Variables

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

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

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 Sum of Last N Terms of Progression

Go Sum of Last N Terms of Arithmetic Progression

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

Go Sum of Last N Terms of Arithmetic Progression given Nth Term from End

S n(End) = (\frac{n}{2}) \cdot (l + T n(End))

Other formulas in Sum of Terms of Arithmetic Progression category

Go Sum of Total Terms of Arithmetic Progression

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

Go Sum of Total Terms of Arithmetic Progression given Last Term

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

Go Sum of Terms from Pth to Qth Terms of Arithmetic Progression

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

Go Sum of First N Terms of Arithmetic Progression

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

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

Sum of Last N Terms of Arithmetic Progression given Last Term evaluator uses Sum of Last N Terms of Progression = (Index N of Progression/2)*((2*Last Term of Progression)+(Common Difference of Progression*(1-Index N of Progression))) to evaluate the Sum of Last N Terms of Progression, The Sum of Last N Terms of Arithmetic Progression given Last Term formula is defined as the summation of the terms starting from the end to the nth term of given Arithmetic Progression, and calculated using last term of Arithmetic Progression. Sum of Last N Terms of Progression is denoted by S_n(End) symbol.

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

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

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

The formula of Sum of Last N Terms of Arithmetic Progression given Last Term is expressed as Sum of Last N Terms of Progression = (Index N of Progression/2)*((2*Last Term of Progression)+(Common Difference of Progression*(1-Index N of Progression))). Here is an example- 540 = (6/2)*((2*100)+(4*(1-6))).

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

With Index N of Progression (n), Last Term of Progression (l) & Common Difference of Progression (d) we can find Sum of Last N Terms of Arithmetic Progression given Last Term using the formula - Sum of Last N Terms of Progression = (Index N of Progression/2)*((2*Last Term of Progression)+(Common Difference of Progression*(1-Index N of Progression))).

What are the other ways to Calculate Sum of Last N Terms of Progression?

Here are the different ways to Calculate Sum of Last N Terms of Progression-

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

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

​GoSum of Last N Terms of Arithmetic Progression Formula

​GoSum of Last N Terms of Arithmetic Progression given Nth Term from End Formula

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

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

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

Other Formulas to find Sum of Last N Terms of Progression

Other formulas in Sum of Terms of Arithmetic Progression category

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

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

Variable Name

GoSum of Last N Terms of Arithmetic Progression Formula

GoSum of Last N Terms of Arithmetic Progression given Nth Term from End Formula