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First Term of Arithmetic Progression given Last Term Formula

GoFirst Term of Arithmetic Progression Formula

GoFirst Term of Arithmetic Progression given Pth and Qth Terms Formula

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The First Term of Progression is the term at which the given Progression starts. Check FAQs

a = l - ((n Total - 1) \cdot d)

a - First Term of Progression?l - Last Term of Progression?n_Total - Number of Total Terms of Progression?d - Common Difference of Progression?

First Term of Arithmetic Progression given Last Term Example

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

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

Here is how the First Term of Arithmetic Progression given Last Term equation looks like.

64 = 100 - ((10 - 1) \cdot 4)

64 = 100 - ((10 - 1) \cdot 4)

64 = 100 - ((10 - 1) \cdot 4)

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First Term of Arithmetic Progression given Last Term Solution

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

FIRST Step Consider the formula

a = l - ((n Total - 1) \cdot d)

Next Step Substitute values of Variables

∴

a = 100 - ((10 - 1) \cdot 4)

Next Step Prepare to Evaluate

∴

a = 100 - ((10 - 1) \cdot 4)

LAST Step Evaluate

∴

a = 64

First Term of Arithmetic Progression given Last Term Formula Elements

Variables

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

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

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

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 First Term of Progression

Go First Term of Arithmetic Progression

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

Go First Term of Arithmetic Progression given Pth and Qth Terms

a = \frac{T p \cdot (q - 1) - T q \cdot (p - 1)}{q - p}

How to Evaluate First Term of Arithmetic Progression given Last Term?

First Term of Arithmetic Progression given Last Term evaluator uses First Term of Progression = Last Term of Progression-((Number of Total Terms of Progression-1)*Common Difference of Progression) to evaluate the First Term of Progression, The First Term of Arithmetic Progression given Last Term formula is defined as the term at which the given Arithmetic Progression starts, calculated using the last term of the Arithmetic Progression. First Term of Progression is denoted by a symbol.

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

FAQs on First Term of Arithmetic Progression given Last Term

What is the formula to find First Term of Arithmetic Progression given Last Term?

The formula of First Term of Arithmetic Progression given Last Term is expressed as First Term of Progression = Last Term of Progression-((Number of Total Terms of Progression-1)*Common Difference of Progression). Here is an example- 72 = 100-((10-1)*4).

How to calculate First Term of Arithmetic Progression given Last Term?

With Last Term of Progression (l), Number of Total Terms of Progression (n_Total) & Common Difference of Progression (d) we can find First Term of Arithmetic Progression given Last Term using the formula - First Term of Progression = Last Term of Progression-((Number of Total Terms of Progression-1)*Common Difference of Progression).

What are the other ways to Calculate First Term of Progression?

Here are the different ways to Calculate First Term of Progression-

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

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First Term of Arithmetic Progression given Last Term Formula

​GoFirst Term of Arithmetic Progression Formula

​GoFirst Term of Arithmetic Progression given Pth and Qth Terms Formula

First Term of Arithmetic Progression given Last Term Example

First Term of Arithmetic Progression given Last Term Solution

First Term of Arithmetic Progression given Last Term Formula Elements

Other Formulas to find First Term of Progression

How to Evaluate First Term of Arithmetic Progression given Last Term?

FAQs on First Term of Arithmetic Progression given Last Term

Variable Name

GoFirst Term of Arithmetic Progression Formula

GoFirst Term of Arithmetic Progression given Pth and Qth Terms Formula