Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 300+ more calculators!
Mona Gladys
St Joseph's College (St Joseph's College), Bengaluru
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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

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 from the end of finite GP when last term and common ratio is given
Nth term=Last term/(Common Ratio^(value of n-1)) GO

nth term in a geometric progression Formula

Nth term=First term*(Common Ratio)^(Last term-1)
a<sub>n</sub>=a*(r)^(l-1)
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What is Geometric Progression ?

In mathematics, a geometric progression, also known as a geometric sequence, 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. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.

How to Calculate nth term in a geometric progression?

nth term in a geometric progression calculator uses Nth term=First term*(Common Ratio)^(Last term-1) to calculate the Nth term, The nth term in a geometric progression formula is defined by the formula Tn = a * r^(n-1). where a is the 1st term r is the common ratio and n is the nth number. Nth term and is denoted by an symbol.

How to calculate nth term in a geometric progression using this online calculator? To use this online calculator for nth term in a geometric progression, enter First term (a), Common Ratio (r) and Last term (l) and hit the calculate button. Here is how the nth term in a geometric progression calculation can be explained with given input values -> 1 = 1*(2)^(1-1).

FAQ

What is nth term in a geometric progression?
The nth term in a geometric progression formula is defined by the formula Tn = a * r^(n-1). where a is the 1st term r is the common ratio and n is the nth number and is represented as an=a*(r)^(l-1) or Nth term=First term*(Common Ratio)^(Last term-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 Ratio is the constant factor between consecutive terms of a geometric sequence and 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'.
How to calculate nth term in a geometric progression?
The nth term in a geometric progression formula is defined by the formula Tn = a * r^(n-1). where a is the 1st term r is the common ratio and n is the nth number is calculated using Nth term=First term*(Common Ratio)^(Last term-1). To calculate nth term in a geometric progression, you need First term (a), Common Ratio (r) and Last term (l). With our tool, you need to enter the respective value for First term, Common Ratio and Last term 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 Ratio and Last term. 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=Last term/(Common Ratio^(value of n-1))
  • Nth term=1/(First term+(total terms-1)*Common difference)
  • Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1))
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