Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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## < 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 Sinfinite 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 Sinfinite=(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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