Nth Term from End of Arithmetic Progression given Last Term Calculator

✖The Last Term of Progression is the term at which the given Progression terminates.ⓘ Last Term of Progression [l]			+10% -10%
✖The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.ⓘ Index N of Progression [n]			+10% -10%
✖The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.ⓘ Common Difference of Progression [d]			+10% -10%

✖The Nth Term from End of Progression is the term corresponding to the index or position n from the end of the given Progression.ⓘ Nth Term from End of Arithmetic Progression given Last Term [T_n(End)]

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Formula

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Nth Term from End of Arithmetic Progression given Last Term

Formula

`"T"_{"n(End)"} = "l"-("n"-1)*"d"`

Example

`"80"="100"-("6"-1)*"4"`

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Nth Term from End of Arithmetic Progression given Last Term Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nth Term from End of Progression = Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression
T_n(End) = l-(n-1)*d
This formula uses 4 Variables

Variables Used

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.
Last Term of Progression - The Last Term of Progression is the term at which the given Progression terminates.
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.
Common Difference of Progression - The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.

STEP 1: Convert Input(s) to Base Unit

Last Term of Progression: 100 --> No Conversion Required
Index N of Progression: 6 --> No Conversion Required
Common Difference of Progression: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_n(End) = l-(n-1)*d --> 100-(6-1)*4

Evaluating ... ...

T_n(End) = 80

STEP 3: Convert Result to Output's Unit

80 --> No Conversion Required

FINAL ANSWER

80 <-- Nth Term from End of Progression

(Calculation completed in 00.004 seconds)

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< 6 Nth Term of Arithmetic Progression Calculators

Nth Term of Arithmetic Progression given Pth and Qth Terms

Go Nth 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))+(Index N of Progression-1)*((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression))

Nth Term of Arithmetic Progression given Last Term

Go Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*((Last Term of Progression-First Term of Progression)/(Number of Total Terms of Progression-1))

Nth Term from End of Arithmetic Progression

Go Nth Term from End of Progression = First Term of Progression+(Number of Total Terms of Progression-Index N of Progression)*Common Difference of Progression

Nth Term from End of Arithmetic Progression given Last Term

Go Nth Term from End of Progression = Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression

Nth Term of Arithmetic Progression given Sum of First N Terms

Go Nth Term of Progression = ((2*Sum of First N Terms of Progression)/Index N of Progression)-First Term of Progression

Nth Term of Arithmetic Progression

Go Nth Term of Progression = First Term of Progression+(Index N of Progression-1)*Common Difference of Progression

Nth Term from End of Arithmetic Progression given Last Term Formula

Nth Term from End of Progression = Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression
T_n(End) = l-(n-1)*d

What is an Arithmetic Progression?

An Arithmetic Progression or simply AP is a sequence of numbers such that successive terms are obtained by adding a constant number to the first term. That fixed number is called the common difference of the Arithmetic Progression. For example, the sequence 2, 5, 8, 11, 14,... is an Arithmetic Progression with first term is 2 and common difference is 3. An AP is a convergent sequence if and only if the common difference is 0, otherwise an AP is always divergent.

How to Calculate Nth Term from End of Arithmetic Progression given Last Term?

Nth Term from End of Arithmetic Progression given Last Term calculator uses Nth Term from End of Progression = Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression to calculate the Nth Term from End of Progression, The Nth Term from End of Arithmetic Progression given Last Term formula is defined as the term corresponding to the index or position n starting from the end of the given Arithmetic Progression, calculated using the last term of the Arithmetic Progression. Nth Term from End of Progression is denoted by T_n(End) symbol.

How to calculate Nth Term from End of Arithmetic Progression given Last Term using this online calculator? To use this online calculator for Nth Term from End of Arithmetic Progression given Last Term, enter Last Term of Progression (l), Index N of Progression (n) & Common Difference of Progression (d) and hit the calculate button. Here is how the Nth Term from End of Arithmetic Progression given Last Term calculation can be explained with given input values -> 80 = 100-(6-1)*4.

FAQ

What is Nth Term from End of Arithmetic Progression given Last Term?

The Nth Term from End of Arithmetic Progression given Last Term formula is defined as the term corresponding to the index or position n starting from the end of the given Arithmetic Progression, calculated using the last term of the Arithmetic Progression and is represented as T_n(End) = l-(n-1)*d or Nth Term from End of Progression = Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression. The Last Term of Progression is the term at which the given Progression terminates, The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression & The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.

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

The Nth Term from End of Arithmetic Progression given Last Term formula is defined as the term corresponding to the index or position n starting from the end of the given Arithmetic Progression, calculated using the last term of the Arithmetic Progression is calculated using Nth Term from End of Progression = Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression. To calculate Nth Term from End of Arithmetic Progression given Last Term, you need Last Term of Progression (l), Index N of Progression (n) & Common Difference of Progression (d). With our tool, you need to enter the respective value for Last Term of Progression, Index N of Progression & Common Difference of Progression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nth Term from End of Progression?

In this formula, Nth Term from End of Progression uses Last Term of Progression, Index N of Progression & Common Difference of Progression. We can use 1 other way(s) to calculate the same, which is/are as follows -

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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