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First Term of Arithmetic Progression Formula

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

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

a - First Term of Progression?T_n - Nth Term of Progression?n - Index N of Progression?d - Common Difference of Progression?

First Term of Arithmetic Progression Example

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

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

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

40 = 60 - ((6 - 1) \cdot 4)

40 = 60 - ((6 - 1) \cdot 4)

40 = 60 - ((6 - 1) \cdot 4)

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First Term of Arithmetic Progression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = 60 - ((6 - 1) \cdot 4)

Next Step Prepare to Evaluate

∴

a = 60 - ((6 - 1) \cdot 4)

LAST Step Evaluate

∴

a = 40

First Term of Arithmetic Progression 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

Nth Term of Progression

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

Symbol: T_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nth Term 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 First 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 First Term of Arithmetic Progression?

First Term of Arithmetic Progression evaluator uses First Term of Progression = Nth Term of Progression-((Index N of Progression-1)*Common Difference of Progression) to evaluate the First Term of Progression, The First Term of Arithmetic Progression formula is defined as the term at which the given Arithmetic Progression starts. First Term of Progression is denoted by a symbol.

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

FAQs on First Term of Arithmetic Progression

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

The formula of First Term of Arithmetic Progression is expressed as First Term of Progression = Nth Term of Progression-((Index N of Progression-1)*Common Difference of Progression). Here is an example- 1355 = 60-((6-1)*4).

How to calculate First Term of Arithmetic Progression?

With Nth Term of Progression (T_n), Index N of Progression (n) & Common Difference of Progression (d) we can find First Term of Arithmetic Progression using the formula - First Term of Progression = Nth Term of Progression-((Index N of Progression-1)*Common Difference of Progression).

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First Term of Arithmetic Progression Formula

First Term of Arithmetic Progression Example

First Term of Arithmetic Progression Solution

First Term of Arithmetic Progression Formula Elements

Other formulas in First Term of Arithmetic Progression category

How to Evaluate First Term of Arithmetic Progression?

FAQs on First Term of Arithmetic Progression

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