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

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

GoSum of Last N Terms of Arithmetic Progression 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 (l + T n(End))

S_n(End) - Sum of Last N Terms of Progression?n - Index N of Progression?l - Last Term of Progression?T_n(End) - Nth Term from End of Progression?

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

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

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

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

420 = (\frac{6}{2}) \cdot (100 + 40)

420 = (\frac{6}{2}) \cdot (100 + 40)

420 = (\frac{6}{2}) \cdot (100 + 40)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S n(End) = (\frac{6}{2}) \cdot (100 + 40)

Next Step Prepare to Evaluate

∴

S n(End) = (\frac{6}{2}) \cdot (100 + 40)

LAST Step Evaluate

∴

S n(End) = 420

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

Nth Term from End of Progression

The Nth Term from End of Progression is the term corresponding to the index or position n from the end of the given Progression.

Symbol: T_n(End)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nth Term from End of Progression

Other Formulas to find Sum of Last N Terms of Progression

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

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

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)))

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 Nth Term from End?

Sum of Last N Terms of Arithmetic Progression given Nth Term from End evaluator uses Sum of Last N Terms of Progression = (Index N of Progression/2)*(Last Term of Progression+Nth Term from End of Progression) to evaluate the Sum of Last N Terms of Progression, The Sum of Last N Terms of Arithmetic Progression given Nth Term from End formula is defined as the summation of the terms starting from the end to the nth term of given Arithmetic Progression, and calculated using the nth term from end 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 Nth Term from End using this online evaluator? To use this online evaluator for Sum of Last N Terms of Arithmetic Progression given Nth Term from End, enter Index N of Progression (n), Last Term of Progression (l) & Nth Term from End of Progression (T_n(End)) and hit the calculate button.

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

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

The formula of Sum of Last N Terms of Arithmetic Progression given Nth Term from End is expressed as Sum of Last N Terms of Progression = (Index N of Progression/2)*(Last Term of Progression+Nth Term from End of Progression). Here is an example- 420 = (6/2)*(100+40).

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

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

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

​GoSum of Last N Terms of Arithmetic Progression given Last Term Formula

​GoSum of Last N Terms of Arithmetic Progression Formula

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

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

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

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

Variable Name

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

GoSum of Last N Terms of Arithmetic Progression Formula