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 given NthTerm?
Sum of First N Terms of Arithmetic Progression given NthTerm calculator uses Sum of First N Terms of Progression = (Index N of Progression/2)*(First Term of Progression+Nth Term of Progression) to calculate the Sum of First N Terms of Progression, The Sum of First N Terms of Arithmetic Progression given NthTerm formula is defined as the summation of the terms starting from the first to the nth term of given Arithmetic Progression, and is calculated using the nth term of the 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 given NthTerm using this online calculator? To use this online calculator for Sum of First N Terms of Arithmetic Progression given NthTerm, enter Index N of Progression (n), First Term of Progression (a) & Nth Term of Progression (Tn) and hit the calculate button. Here is how the Sum of First N Terms of Arithmetic Progression given NthTerm calculation can be explained with given input values -> 189 = (6/2)*(3+60).