An arithmetic progression is a sequence of numbers where each term is obtained by adding a fixed number, called the common difference, to the previous term. For example, in the progression 2, 5, 8, 11, the common difference is 3.
The common difference in an arithmetic progression can be found by subtracting any two consecutive terms in the sequence. If the terms are represented by an and an+1, then the common difference is given by an+1 - an.
The formula for the nth term in an arithmetic progression is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference.
The sum of an arithmetic progression can be found using the formula Sn = (n/2)(a1 + an), where n is the number of terms and a1 and an are the first and last terms, respectively.
Yes, an arithmetic progression can have a common difference of 0. In this case, all the terms in the sequence will be equal to the first term, and the progression is known as a constant sequence.