FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Nth Term from End of Geometric Progression given Last Term Formula

GoNth Term from End of Geometric Progression Formula

Fx Copy

LaTeX Copy

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) = \frac{l}{r^{n - 1}}

T_n(End) - Nth Term from End of Progression?l - Last Term of Progression?r - Common Ratio of Progression?n - Index N of Progression?

Nth Term from End of Geometric Progression given Last Term Example

With values

With units

Only example

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

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

Here is how the Nth Term from End of Geometric Progression given Last Term equation looks like.

3.125 = \frac{100}{2^{6 - 1}}

3.125 = \frac{100}{2^{6 - 1}}

3.125 = \frac{100}{2^{6 - 1}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Sequence and Series » Category

AP,GP and HP » fx Nth Term from End of Geometric Progression given Last Term

Nth Term from End of Geometric Progression given Last Term Solution

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

FIRST Step Consider the formula

T n(End) = \frac{l}{r^{n - 1}}

Next Step Substitute values of Variables

∴

T n(End) = \frac{100}{2^{6 - 1}}

Next Step Prepare to Evaluate

∴

T n(End) = \frac{100}{2^{6 - 1}}

LAST Step Evaluate

∴

T n(End) = 3.125

Nth Term from End of Geometric Progression given Last Term 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

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

Common Ratio of Progression

The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Ratio 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

Other Formulas to find Nth Term from End of Progression

Go Nth Term from End of Geometric Progression

T n(End) = a \cdot (r^{n Total - n})

Other formulas in Nth Term of Geometric Progression category

Go Nth Term of Geometric Progression

T n = a \cdot (r^{n - 1})

Go Nth Term of Geometric Progression given (N-1)th Term

T n = T n-1 \cdot r

How to Evaluate Nth Term from End of Geometric Progression given Last Term?

Nth Term from End of Geometric Progression given Last Term evaluator uses Nth Term from End of Progression = Last Term of Progression/(Common Ratio of Progression^(Index N of Progression-1)) to evaluate the Nth Term from End of Progression, The Nth Term from End of Geometric Progression given Last Term formula is defined as the term corresponding to the index or position n starting from the end of the given Geometric Progression, calculated using the last term. Nth Term from End of Progression is denoted by T_n(End) symbol.

How to evaluate Nth Term from End of Geometric Progression given Last Term using this online evaluator? To use this online evaluator for Nth Term from End of Geometric Progression given Last Term, enter Last Term of Progression (l), Common Ratio of Progression (r) & Index N of Progression (n) and hit the calculate button.

FAQs on Nth Term from End of Geometric Progression given Last Term

What is the formula to find Nth Term from End of Geometric Progression given Last Term?

The formula of Nth Term from End of Geometric Progression given Last Term is expressed as Nth Term from End of Progression = Last Term of Progression/(Common Ratio of Progression^(Index N of Progression-1)). Here is an example- 3.125 = 100/(2^(6-1)).

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

With Last Term of Progression (l), Common Ratio of Progression (r) & Index N of Progression (n) we can find Nth Term from End of Geometric Progression given Last Term using the formula - Nth Term from End of Progression = Last Term of Progression/(Common Ratio of Progression^(Index N of Progression-1)).

What are the other ways to Calculate Nth Term from End of Progression?

Here are the different ways to Calculate Nth Term from End of Progression-

Nth Term from End of Progression=First Term of Progression*(Common Ratio of Progression^(Number of Total Terms of Progression-Index N of Progression))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Nth Term from End of Geometric Progression given Last Term Formula

​GoNth Term from End of Geometric Progression Formula

Nth Term from End of Geometric Progression given Last Term Example

Nth Term from End of Geometric Progression given Last Term Solution

Nth Term from End of Geometric Progression given Last Term Formula Elements

Other Formulas to find Nth Term from End of Progression

Other formulas in Nth Term of Geometric Progression category

How to Evaluate Nth Term from End of Geometric Progression given Last Term?

FAQs on Nth Term from End of Geometric Progression given Last Term

Variable Name

GoNth Term from End of Geometric Progression Formula