Sum of infinite AGP where (-1 < r < 1) Calculator

Category	Math ↺
Math	Algebra ↺
Algebra	Series & Progression ↺
Series-And-Progression	Arithematic-Geometric Progression ↺

✖First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. ⓘ First term [a]			+10% -10%
✖Common Ratio is the constant factor between consecutive terms of a geometric sequence.ⓘ Common Ratio [r]			+10% -10%
✖Common difference is the difference between two successive terms of an arithmetic progression. It is denoted by 'd'. ⓘ Common difference [d]			+10% -10%

✖Sum of Infinite Terms denotes the sum of infinite terms in a series or progressionⓘ Sum of infinite AGP where (-1 < r < 1) [S_infinite]

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Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 0+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 10+ more calculators!

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

Sum of first n terms in an AP when common difference is given

Sum of First n terms=(total terms/2)*(2*First term+(total terms-1)*Common difference) GO

Position of pth term when pth term, first term & common difference is given

Position in series p=((pth Term-First term)/Common difference)+1 GO

Common Difference when first term & pth term are given

Common difference=(pth Term-First term)/(Position in series p-1) 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

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

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

Last term when number of terms, first term & common difference are given

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

Number of terms of in an Arithematic Progression

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

Sum of infinite AGP where (-1 < r < 1) Formula

Sum of Infinite Terms=(First term/(1-Common Ratio))+(Common difference*Common Ratio/(1-Common Ratio)^2)

More formulas

Nth term of an Arithematic Progression GO

Number of terms of in an Arithematic Progression GO

Sum of first n terms in an AP when common difference is given GO

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

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

Common Difference when first term & pth term are given GO

Position of pth term when pth term, first term & common difference is given GO

Last term when number of terms, first term & common difference are given GO

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

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

Common Difference when pth & qth terms are given GO

Sum of first n terms where r>1 GO

Nth term of a HP GO

Harmonic Mean of two numbers GO

Nth term of AGP GO

Sum of first n terms of AGP GO

What is Arithematic Geometric Progression ?

In mathematics, an arithmetico–geometric sequence is the result of the term-by-term multiplication of a geometric progression with the corresponding terms of an arithmetic progression.

How to Calculate Sum of infinite AGP where (-1 < r < 1)?

Sum of infinite AGP where (-1 < r < 1) calculator uses Sum of Infinite Terms=(First term/(1-Common Ratio))+(Common difference*Common Ratio/(1-Common Ratio)^2) to calculate the Sum of Infinite Terms, The Sum of infinite AGP where (-1 < r < 1) formula is defined as ( first_term / ( 1 - common_ratio ) ) + ( common_difference * common_ratio / ( 1 - common_ratio ) ^ 2 ). Sum of Infinite Terms and is denoted by S_infinite symbol.

How to calculate Sum of infinite AGP where (-1 < r < 1) using this online calculator? To use this online calculator for Sum of infinite AGP where (-1 < r < 1), enter First term (a), Common difference (d) and Common Ratio (r) and hit the calculate button. Here is how the Sum of infinite AGP where (-1 < r < 1) calculation can be explained with given input values -> 1 = (1/(1-2))+(1*2/(1-2)^2).

FAQ

What is Sum of infinite AGP where (-1 < r < 1)?

The Sum of infinite AGP where (-1 < r < 1) formula is defined as ( first_term / ( 1 - common_ratio ) ) + ( common_difference * common_ratio / ( 1 - common_ratio ) ^ 2 ) and is represented as S_infinite=(a/(1-r))+(d*r/(1-r)^2) or Sum of Infinite Terms=(First term/(1-Common Ratio))+(Common difference*Common Ratio/(1-Common Ratio)^2). First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. , Common difference is the difference between two successive terms of an arithmetic progression. It is denoted by 'd'. and Common Ratio is the constant factor between consecutive terms of a geometric sequence.

How to calculate Sum of infinite AGP where (-1 < r < 1)?

The Sum of infinite AGP where (-1 < r < 1) formula is defined as ( first_term / ( 1 - common_ratio ) ) + ( common_difference * common_ratio / ( 1 - common_ratio ) ^ 2 ) is calculated using Sum of Infinite Terms=(First term/(1-Common Ratio))+(Common difference*Common Ratio/(1-Common Ratio)^2). To calculate Sum of infinite AGP where (-1 < r < 1), you need First term (a), Common difference (d) and Common Ratio (r). With our tool, you need to enter the respective value for First term, Common difference and Common Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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