Last term when number of terms, first term & common difference are given Calculator

Category	Math ↺
Math	Algebra ↺
Algebra	Series & Progression ↺
Series-And-Progression	Arithematic Progression ↺

✖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%
✖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]			+10% -10%

✖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'.ⓘ Last term when number of terms, first term & common difference are given [l]

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Last term when number of terms, first term & common difference are given

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

Rushi Shah has verified this Calculator and 25+ more calculators!

< 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

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

Last term when number of terms, first term & common difference are given Formula

Last term=((total terms-1)*Common difference)+First 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

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

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 Last term when number of terms, first term & common difference are given?

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

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

FAQ

What is Last term when number of terms, first term & common difference are given?

The Last term when number of terms, first term & common difference are given formula is defined as ( ( number_of_terms - 1 ) * common_difference ) + first_term. Derived from the formula of calculating number of terms and is represented as l=((total-1)*d)+a or Last term=((total terms-1)*Common difference)+First 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'. , Common difference is the difference between two successive terms of an arithmetic progression. It is denoted by 'd'. and total terms is the total number of terms in a particular series.

How to calculate Last term when number of terms, first term & common difference are given?

The Last term when number of terms, first term & common difference are given formula is defined as ( ( number_of_terms - 1 ) * common_difference ) + first_term. Derived from the formula of calculating number of terms is calculated using Last term=((total terms-1)*Common difference)+First term. To calculate Last term when number of terms, first term & common difference are given, you need First term (a), Common difference (d) and total terms (total). With our tool, you need to enter the respective value for First term, Common difference and total terms 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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