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 Nth Term of Arithmetic Progression given Pth and Qth Terms?
Nth Term of Arithmetic Progression given Pth and Qth Terms calculator uses Nth Term of Progression = ((Pth Term of Progression*(Index Q of Progression-1)-Qth Term of Progression*(Index P of Progression-1))/(Index Q of Progression-Index P of Progression))+(Index N of Progression-1)*((Qth Term of Progression-Pth Term of Progression)/(Index Q of Progression-Index P of Progression)) to calculate the Nth Term of Progression, The Nth Term of Arithmetic Progression given Pth and Qth Terms formula is defined as the term corresponding to the index or position n from the beginning in the given Arithmetic Progression, and calculated using the pth and qth terms of the Arithmetic Progression. Nth Term of Progression is denoted by Tn symbol.
How to calculate Nth Term of Arithmetic Progression given Pth and Qth Terms using this online calculator? To use this online calculator for Nth Term of Arithmetic Progression given Pth and Qth Terms, enter Pth Term of Progression (Tp), Index Q of Progression (q), Qth Term of Progression (Tq), Index P of Progression (p) & Index N of Progression (n) and hit the calculate button. Here is how the Nth Term of Arithmetic Progression given Pth and Qth Terms calculation can be explained with given input values -> 39 = ((50*(8-1)-80*(5-1))/(8-5))+(6-1)*((80-50)/(8-5)).