Mayank Tayal
National Institute of Technology (NIT), Durgapur
Mayank Tayal has created this Calculator and 0+ more calculators!
Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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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
Sum of first n terms in a finite GP
Sum of First n terms=(First term*((Common Ratio^value of n)-1))/(Common Ratio-1) 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
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

1 Other formulas that calculate the same Output

Number of terms of in an Arithematic Progression
total terms=((Last term-First term)/Common difference)+1 GO

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

total terms=((2*Sum of First n terms)/(First term+Last term))
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
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 Number of terms when Sum of first n terms, first term & last term are given?

Number of terms when Sum of first n terms, first term & last term are given calculator uses total terms=((2*Sum of First n terms)/(First term+Last term)) to calculate the total terms, The Number of terms when Sum of first n terms, first term & last term are given formula is defined as ( ( 2 * sum_of_first_n_terms ) / ( first_term + last_term ) ) Derived from the formula of calculating Sum of first n terms Sn = n/2(a + l). total terms and is denoted by total symbol.

How to calculate Number of terms when Sum of first n terms, first term & last term are given using this online calculator? To use this online calculator for Number of terms when Sum of first n terms, first term & last term are given, enter First term (a), Last term (l) and Sum of First n terms (Sn) and hit the calculate button. Here is how the Number of terms when Sum of first n terms, first term & last term are given calculation can be explained with given input values -> 10 = ((2*10)/(1+1)).

FAQ

What is Number of terms when Sum of first n terms, first term & last term are given?
The Number of terms when Sum of first n terms, first term & last term are given formula is defined as ( ( 2 * sum_of_first_n_terms ) / ( first_term + last_term ) ) Derived from the formula of calculating Sum of first n terms Sn = n/2(a + l) and is represented as total=((2*Sn)/(a+l)) or total terms=((2*Sum of First n terms)/(First term+Last term)). 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 Sum of First n terms denoted the sum of first n terms occuring in a progression like Arithematic Progression, Geometric Progression, Harmonic Progression.
How to calculate Number of terms when Sum of first n terms, first term & last term are given?
The Number of terms when Sum of first n terms, first term & last term are given formula is defined as ( ( 2 * sum_of_first_n_terms ) / ( first_term + last_term ) ) Derived from the formula of calculating Sum of first n terms Sn = n/2(a + l) is calculated using total terms=((2*Sum of First n terms)/(First term+Last term)). To calculate Number of terms when Sum of first n terms, first term & last term are given, you need First term (a), Last term (l) and Sum of First n terms (Sn). With our tool, you need to enter the respective value for First term, Last term and Sum of First n 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 total terms?
In this formula, total terms uses First term, Last term and Sum of First n terms. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • total terms=((Last term-First term)/Common difference)+1
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