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Nth Term from End of Arithmetic Progression Formula

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

T n(End) = a + (n Total - n) \cdot d

T_n(End) - Nth Term from End of Progression?a - First Term of Progression?n_Total - Number of Total Terms of Progression?n - Index N of Progression?d - Common Difference of Progression?

Nth Term from End of Arithmetic Progression Example

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Here is how the Nth Term from End of Arithmetic Progression equation looks like with Values.

Here is how the Nth Term from End of Arithmetic Progression equation looks like with Units.

Here is how the Nth Term from End of Arithmetic Progression equation looks like.

19 = 3 + (10 - 6) \cdot 4

19 = 3 + (10 - 6) \cdot 4

19 = 3 + (10 - 6) \cdot 4

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Nth Term from End of Arithmetic Progression Solution

Follow our step by step solution on how to calculate Nth Term from End of Arithmetic Progression?

FIRST Step Consider the formula

T n(End) = a + (n Total - n) \cdot d

Next Step Substitute values of Variables

∴

T n(End) = 3 + (10 - 6) \cdot 4

Next Step Prepare to Evaluate

∴

T n(End) = 3 + (10 - 6) \cdot 4

LAST Step Evaluate

∴

T n(End) = 19

Nth Term from End of Arithmetic Progression Formula Elements

Variables

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

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

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 in Nth Term of Arithmetic Progression category

Go Common Difference of Arithmetic Progression

d = T n - T n-1

Go Sum of First N Terms of Arithmetic Progression

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

Go Nth Term of Arithmetic Progression

T n = a + (n - 1) \cdot d

Go Sum of Total Terms of Arithmetic Progression given Last Term

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

How to Evaluate Nth Term from End of Arithmetic Progression?

Nth Term from End of Arithmetic Progression evaluator uses Nth Term from End of Progression = First Term of Progression+(Number of Total Terms of Progression-Index N of Progression)*Common Difference of Progression to evaluate the Nth Term from End of Progression, The Nth Term from End of Arithmetic Progression formula is defined as the term corresponding to the index or position n starting from the end of the given Arithmetic Progression. Nth Term from End of Progression is denoted by T_n(End) symbol.

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

FAQs on Nth Term from End of Arithmetic Progression

What is the formula to find Nth Term from End of Arithmetic Progression?

The formula of Nth Term from End of Arithmetic Progression is expressed as Nth Term from End of Progression = First Term of Progression+(Number of Total Terms of Progression-Index N of Progression)*Common Difference of Progression. Here is an example- 11 = 3+(10-6)*4.

How to calculate Nth Term from End of Arithmetic Progression?

With First Term of Progression (a), Number of Total Terms of Progression (n_Total), Index N of Progression (n) & Common Difference of Progression (d) we can find Nth Term from End of Arithmetic Progression using the formula - Nth Term from End of Progression = First Term of Progression+(Number of Total Terms of Progression-Index N of Progression)*Common Difference of Progression.

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Nth Term from End of Arithmetic Progression Formula

Nth Term from End of Arithmetic Progression Example

Nth Term from End of Arithmetic Progression Solution

Nth Term from End of Arithmetic Progression Formula Elements

Other formulas in Nth Term of Arithmetic Progression category

How to Evaluate Nth Term from End of Arithmetic Progression?

FAQs on Nth Term from End of Arithmetic Progression

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