What is an Arithmetic Progression?
An Arithmetic Progression or simply AP is a sequence of numbers such that successive terms are obtained by adding a constant number to the first term. That fixed number is called the common difference of the Arithmetic Progression. For example, the sequence 2, 5, 8, 11, 14,... is an Arithmetic Progression with first term is 2 and common difference is 3. An AP is a convergent sequence if and only if the common difference is 0, otherwise an AP is always divergent.
How to Calculate Sum of First N Terms of Arithmetic Progression?
Sum of First N Terms of Arithmetic Progression calculator uses Sum of First N Terms of Progression = (Index N of Progression/2)*((2*First Term of Progression)+((Index N of Progression-1)*Common Difference of Progression)) to calculate the Sum of First N Terms of Progression, The Sum of First N Terms of Arithmetic Progression formula is defined as the summation of the terms starting from the first to the nth term of given Arithmetic Progression. Sum of First N Terms of Progression is denoted by Sn symbol.
How to calculate Sum of First N Terms of Arithmetic Progression using this online calculator? To use this online calculator for Sum of First N Terms of Arithmetic Progression, enter Index N of Progression (n), First Term of Progression (a) & Common Difference of Progression (d) and hit the calculate button. Here is how the Sum of First N Terms of Arithmetic Progression calculation can be explained with given input values -> 78 = (6/2)*((2*3)+((6-1)*4)).