nth term from the end of finite GP when last term and common ratio is given Calculator

Category	Math ↺
Math	Sequence and Series ↺
Sequence-And-Series	Geometric Progression ↺

✖Last term is simply the term at which a particular series or sequence line arithmetic progression or geometric progression ends. It is generally denotes by 'l'.ⓘ Last term [l]			+10% -10%
✖Common Ratio is the constant factor between consecutive terms of a geometric sequence.ⓘ Common Ratio [r]			+10% -10%
✖value of n is the index value of position n in a series or a sequence.ⓘ value of n [n]			+10% -10%

✖Nth term is particular term at index/position n (by default from beginning).ⓘ nth term from the end of finite GP when last term and common ratio is given [a_n]

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Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 100+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 200+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Sum of first n terms in a finite GP

Sum of First n terms=(First term*((Common Ratio^value of n)-1))/(Common Ratio-1) GO

Sum of squares of first n natural numbers

Sum of First n terms=(value of n*(value of n+1)*(2*value of n+1))/6 GO

Number of terms when Sum of first n terms, first term & last term are given

total terms=((2*Sum of First n terms)/(First term+Last term)) GO

Sum of first n terms in an AP when last term is given

Sum of First n terms=(total terms/2)*(First term+Last term) GO

nth term from end in a finite GP

Nth term=First term*(Common Ratio^(total terms-value of n)) GO

Common Difference when first term, last term & number of terms are given

Common difference=((Last term-First term)/(total terms-1)) GO

Number of terms of in an Arithematic Progression

total terms=((Last term-First term)/Common difference)+1 GO

Sum of cubes of first n natural numbers

Sum of First n terms=((value of n*(value of n+1))^2)/4 GO

Sum of first n natural numbers

Sum of First n terms=(value of n*(value of n+1))/2 GO

Nth term of GP

Nth term=First term*(Common Ratio^(value of n-1)) GO

Sum infinite GP when r is less than one

Sum of First n terms=First term/(1-Common Ratio) GO

< 8 Other formulas that calculate the same Output

Calculate nth term of AP when pth & qth terms are given

Nth term=((pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p))+(total terms-1)*((qth Term-pth Term)/(Position in series q-Position in series p)) GO

Nth term of AGP

Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1)) GO

nth term from end in a finite GP

Nth term=First term*(Common Ratio^(total terms-value of n)) GO

Nth term of a HP

Nth term=1/(First term+(total terms-1)*Common difference) GO

Nth term of an Arithematic Progression

Nth term=First term+(total terms-1)*Common difference GO

Nth term of AP

Nth term=First term+(term number-1)*Common difference GO

Nth term of GP

Nth term=First term*(Common Ratio^(value of n-1)) GO

nth term in a geometric progression

Nth term=First term*(Common Ratio)^(Last term-1) GO

nth term from the end of finite GP when last term and common ratio is given Formula

Nth term=Last term/(Common Ratio^(value of n-1))
a<sub>n</sub>=l/(r^(n-1))

More formulas

Nth term of GP GO

Sum of first n terms in a finite GP GO

Sum infinite GP when r is less than one GO

nth term from end in a finite GP GO

Common Ratio GO

Geometric Mean of two numbers GO

Sum of infinite GP except first n terms when r<1 GO

Geometric Mean when Harmonic Mean and Arithmetic Mean is given GO

Description of finite GP and common ratio.

A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio. The GP which has finite number of terms is known as Finite GP.

How to Calculate nth term from the end of finite GP when last term and common ratio is given?

nth term from the end of finite GP when last term and common ratio is given calculator uses Nth term=Last term/(Common Ratio^(value of n-1)) to calculate the Nth term, nth term from the end of finite GP when last term and common ratio is given can be calculated by using the formula l/(r^(n-1)) where l ->last term, r ->common ratio, n ->position of term from end you need to calculate. Nth term and is denoted by a_n symbol.

How to calculate nth term from the end of finite GP when last term and common ratio is given using this online calculator? To use this online calculator for nth term from the end of finite GP when last term and common ratio is given, enter Last term (l), Common Ratio (r) and value of n (n) and hit the calculate button. Here is how the nth term from the end of finite GP when last term and common ratio is given calculation can be explained with given input values -> 1 = 1/(2^(1-1)).

FAQ

What is nth term from the end of finite GP when last term and common ratio is given?

nth term from the end of finite GP when last term and common ratio is given can be calculated by using the formula l/(r^(n-1)) where l ->last term, r ->common ratio, n ->position of term from end you need to calculate and is represented as a_n=l/(r^(n-1)) or Nth term=Last term/(Common Ratio^(value of n-1)). Last term is simply the term at which a particular series or sequence line arithmetic progression or geometric progression ends. It is generally denotes by 'l', Common Ratio is the constant factor between consecutive terms of a geometric sequence and value of n is the index value of position n in a series or a sequence.

How to calculate nth term from the end of finite GP when last term and common ratio is given?

nth term from the end of finite GP when last term and common ratio is given can be calculated by using the formula l/(r^(n-1)) where l ->last term, r ->common ratio, n ->position of term from end you need to calculate is calculated using Nth term=Last term/(Common Ratio^(value of n-1)). To calculate nth term from the end of finite GP when last term and common ratio is given, you need Last term (l), Common Ratio (r) and value of n (n). With our tool, you need to enter the respective value for Last term, Common Ratio and value of n 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?

In this formula, Nth term uses Last term, Common Ratio and value of n. We can use 8 other way(s) to calculate the same, which is/are as follows -

Nth term=First term+(term number-1)*Common difference
Nth term=First term+(total terms-1)*Common difference
Nth term=((pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p))+(total terms-1)*((qth Term-pth Term)/(Position in series q-Position in series p))
Nth term=First term*(Common Ratio^(value of n-1))
Nth term=First term*(Common Ratio^(total terms-value of n))
Nth term=1/(First term+(total terms-1)*Common difference)
Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1))
Nth term=First term*(Common Ratio)^(Last term-1)

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