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The Last Term of Progression is the term at which the given Progression terminates. Check FAQs
l=(2⋅STotalnTotal)-a
l - Last Term of Progression?STotal - Sum of Total Terms of Progression?nTotal - Number of Total Terms of Progression?a - First Term of Progression?

Last Term of Arithmetic Progression given Sum of Total Terms Example

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

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

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

197Edit=(2⋅1000Edit10Edit)-3Edit
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Last Term of Arithmetic Progression given Sum of Total Terms Solution

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

FIRST Step Consider the formula
l=(2⋅STotalnTotal)-a
Next Step Substitute values of Variables
∴ l=(2⋅100010)-3
Next Step Prepare to Evaluate
∴ l=(2⋅100010)-3
LAST Step Evaluate
∴l=197

Last Term of Arithmetic Progression given Sum of Total 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 ProgressionOpen Variable
Sum of Total Terms of Progression
The Sum of Total Terms of Progression is the summation of the terms starting from the first to the last term of given Progression.
Symbol: STotal
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Sum of Total Terms of ProgressionOpen Variable
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: nTotal
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Total Terms of ProgressionOpen Variable
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 ProgressionOpen Variable

Other Formulas to find Last Term of Progression

​Go Last Term of Arithmetic Progression
l=a+((nTotal-1)⋅d)
​Go Last Term of Arithmetic Progression given Sum of Last N Terms
l=(Sn(End)n-d⋅(1-n)2)
​Go Last Term of Arithmetic Progression given Pth and Qth Terms
l=(Tp⋅(q-1)-Tq⋅(p-1)q-p)+(nTotal-1)⋅(Tq-Tpq-p)
​Go Last Term of Arithmetic Progression given Nth Term
l=a+(nTotal-1)⋅(Tn-an-1)

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

Last Term of Arithmetic Progression given Sum of Total Terms evaluator uses Last Term of Progression = ((2*Sum of Total Terms of Progression)/Number of Total Terms of Progression)-First Term of Progression to evaluate the Last Term of Progression, The Last Term of Arithmetic Progression given Sum of Total Terms formula is defined as the term at which the given Arithmetic Progression terminates and calculated using the sum of total terms of given Arithmetic Progression. Last Term of Progression is denoted by l symbol.

How to evaluate Last Term of Arithmetic Progression given Sum of Total Terms using this online evaluator? To use this online evaluator for Last Term of Arithmetic Progression given Sum of Total Terms, enter Sum of Total Terms of Progression (STotal), Number of Total Terms of Progression (nTotal) & First Term of Progression (a) and hit the calculate button.

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

What is the formula to find Last Term of Arithmetic Progression given Sum of Total Terms?
The formula of Last Term of Arithmetic Progression given Sum of Total Terms is expressed as Last Term of Progression = ((2*Sum of Total Terms of Progression)/Number of Total Terms of Progression)-First Term of Progression. Here is an example- 150 = ((2*1000)/10)-3.
How to calculate Last Term of Arithmetic Progression given Sum of Total Terms?
With Sum of Total Terms of Progression (STotal), Number of Total Terms of Progression (nTotal) & First Term of Progression (a) we can find Last Term of Arithmetic Progression given Sum of Total Terms using the formula - Last Term of Progression = ((2*Sum of Total Terms of Progression)/Number of Total Terms of Progression)-First Term of Progression.
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)OpenImg
  • 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)OpenImg
  • 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))OpenImg
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