Mayank Tayal
National Institute of Technology (NIT), Durgapur
Mayank Tayal has created this Calculator and 0+ more calculators!
Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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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
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

2 Other formulas that calculate the same Output

Common Difference when pth & qth terms are given
Common difference=((qth Term-pth Term)/(Position in series q-Position in series p)) GO
Common Difference when first term & pth term are given
Common difference=(pth Term-First term)/(Position in series p-1) GO

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

Common difference=((Last term-First term)/(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
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

What is an Arithematic Progression ?

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. For example, the sequence 1, 2, 3, 4, ... is an arithmetic progression with common difference 1. Second example: the sequence 3, 5, 7, 9, 11,... is an arithmetic progression.

How to Calculate Common Difference when first term, last term & number of terms are given?

Common Difference when first term, last term & number of terms are given calculator uses Common difference=((Last term-First term)/(total terms-1)) to calculate the Common difference, The Common Difference when first term, last term & number of terms are given formula is defined as( ( last_term - first_term ) / ( number_of_terms - 1 ) ). Derived from the formula, number of terms = (l - a)/d + 1. Common difference and is denoted by d symbol.

How to calculate Common Difference when first term, last term & number of terms are given using this online calculator? To use this online calculator for Common Difference when first term, last term & number of terms are given, enter First term (a), Last term (l) and total terms (total) and hit the calculate button. Here is how the Common Difference when first term, last term & number of terms are given calculation can be explained with given input values -> 0 = ((1-1)/((0)-1)).

FAQ

What is Common Difference when first term, last term & number of terms are given?
The Common Difference when first term, last term & number of terms are given formula is defined as( ( last_term - first_term ) / ( number_of_terms - 1 ) ). Derived from the formula, number of terms = (l - a)/d + 1 and is represented as d=((l-a)/(total-1)) or Common difference=((Last term-First term)/(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'. , 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' and total terms is the total number of terms in a particular series.
How to calculate Common Difference when first term, last term & number of terms are given?
The Common Difference when first term, last term & number of terms are given formula is defined as( ( last_term - first_term ) / ( number_of_terms - 1 ) ). Derived from the formula, number of terms = (l - a)/d + 1 is calculated using Common difference=((Last term-First term)/(total terms-1)). To calculate Common Difference when first term, last term & number of terms are given, you need First term (a), Last term (l) and total terms (total). With our tool, you need to enter the respective value for First term, Last term and total terms 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 Common difference?
In this formula, Common difference uses First term, Last term and total terms. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Common difference=(pth Term-First term)/(Position in series p-1)
  • Common difference=((qth Term-pth Term)/(Position in series q-Position in series p))
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