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Nth term of AGP 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]
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✖total terms is the total number of terms in a particular series.ⓘ total terms [total]
+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%
✖Common Ratio is the constant factor between consecutive terms of a geometric sequence.ⓘ Common Ratio [r]
+10%
-10%
✖Nth term is particular term at index/position n (by default from beginning).ⓘ Nth term of AGP [an]
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⎙ 11 Other formulas that you can solve using the same Inputs

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
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

⎙ 4 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 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 AGP Formula

Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1))
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
Sum of first n terms of AGP GO
Sum of infinite AGP where (-1 < r < 1) 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 Nth term of AGP?

Nth term of AGP calculator uses Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1)) to calculate the Nth term, The Nth term of AGP formula is defined as ( first_term + ( ( total_terms - 1 ) * common_difference ) ) * ( common_ratio ^ ( total_terms - 1 ) ) . Nth term and is denoted by an symbol.

How to calculate Nth term of AGP using this online calculator? To use this online calculator for Nth term of AGP, enter First term (a), Common difference (d), total terms (total) and Common Ratio (r) and hit the calculate button. Here is how the Nth term of AGP calculation can be explained with given input values -> 0 = (1+(((0)-1)*1))*(2^((0)-1)).

FAQ

What is Nth term of AGP?
The Nth term of AGP formula is defined as ( first_term + ( ( total_terms - 1 ) * common_difference ) ) * ( common_ratio ^ ( total_terms - 1 ) ) and is represented as an=(a+((total-1)*d))*(r^(total-1)) or Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1)). 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'. , total terms is the total number of terms in a particular series and Common Ratio is the constant factor between consecutive terms of a geometric sequence.
How to calculate Nth term of AGP?
The Nth term of AGP formula is defined as ( first_term + ( ( total_terms - 1 ) * common_difference ) ) * ( common_ratio ^ ( total_terms - 1 ) ) is calculated using Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1)). To calculate Nth term of AGP, you need First term (a), Common difference (d), total terms (total) and Common Ratio (r). With our tool, you need to enter the respective value for First term, Common difference, total terms and Common Ratio 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 First term, Common difference, total terms and Common Ratio. We can use 4 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=1/(First term+(total terms-1)*Common difference)
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