Arithmetic progression formula: According to an anecdote of uncertain reliability

According to an anecdote of uncertain reliability, [2] in primary school Carl Friedrich Gauss reinvented the formula for summing the integers from 1 through , for the case , by grouping the numbers from both ends of the sequence into pairs summing to 101 and multiplying by the number of pairs. An arithmetic progression is a sequence where the differences between every two consecutive terms are the same. In an arithmetic progression, each number is obtained by adding a fixed number to the previous term. Learn what is arithmetic progression (AP) in Maths, with formulas, solved examples, real-life applications, and step-by-step solutions for board & entrance exams. Arithmetic Progression is basically a series of numbers where the difference between each number to it's next number is the same. Read the full article to understand the Definition, what is Nth Term, most important AP Formulas, the Sum of AP, and Solved examples, and download the AP Previous years question PDF.